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Finding the Fourth Proportional to 8,194.68, 11,307.20 and 4,657.68

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Solution

The fourth proportional to 8,194.68, 11,307.20 and 4,657.68 is: 6,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.68 : 11,307.20 = 4,657.68 : x
  2. Step 2: Convert to fraction form
    8,194.68/11,307.20 = 4,657.68/x
  3. Step 3: Cross multiply
    8,194.68x = 11,307.20 × 4,657.68
  4. Step 4: Simplify right side
    8,194.68x = 52,665,296.01
  5. Step 5: Solve for x
    x = 52,665,296.01/8,194.68
  6. Step 6: Final answer
    x = 6,426.77

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Half scale
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Double scale
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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.