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Finding the Fourth Proportional to 8,193.98, 11,307.33 and 4,657.14

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Solution

The fourth proportional to 8,193.98, 11,307.33 and 4,657.14 is: 6,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.98 : 11,307.33 = 4,657.14 : x
  2. Step 2: Convert to fraction form
    8,193.98/11,307.33 = 4,657.14/x
  3. Step 3: Cross multiply
    8,193.98x = 11,307.33 × 4,657.14
  4. Step 4: Simplify right side
    8,193.98x = 52,659,818.84
  5. Step 5: Solve for x
    x = 52,659,818.84/8,193.98
  6. Step 6: Final answer
    x = 6,426.65

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Half scale
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Double scale
Find fourth proportional to 8,194.98, 11,308.71 and 4,658.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.