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Finding the Fourth Proportional to 10,706.39, 14,773.07 and 6,724.68

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Solution

The fourth proportional to 10,706.39, 14,773.07 and 6,724.68 is: 9,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.39 : 14,773.07 = 6,724.68 : x
  2. Step 2: Convert to fraction form
    10,706.39/14,773.07 = 6,724.68/x
  3. Step 3: Cross multiply
    10,706.39x = 14,773.07 × 6,724.68
  4. Step 4: Simplify right side
    10,706.39x = 99,344,224.20
  5. Step 5: Solve for x
    x = 99,344,224.20/10,706.39
  6. Step 6: Final answer
    x = 9,278.97

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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.