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Finding the Fourth Proportional to 8,307.34, 11,464.34 and 4,722.22

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Solution

The fourth proportional to 8,307.34, 11,464.34 and 4,722.22 is: 6,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.34 : 11,464.34 = 4,722.22 : x
  2. Step 2: Convert to fraction form
    8,307.34/11,464.34 = 4,722.22/x
  3. Step 3: Cross multiply
    8,307.34x = 11,464.34 × 4,722.22
  4. Step 4: Simplify right side
    8,307.34x = 54,137,054.70
  5. Step 5: Solve for x
    x = 54,137,054.70/8,307.34
  6. Step 6: Final answer
    x = 6,516.78

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Half scale
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Double scale
Find fourth proportional to 8,308.34, 11,465.72 and 4,723.22
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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.