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Finding the Fourth Proportional to 9,729.98, 14,572.29 and 9,657.08

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Solution

The fourth proportional to 9,729.98, 14,572.29 and 9,657.08 is: 14,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.98 : 14,572.29 = 9,657.08 : x
  2. Step 2: Convert to fraction form
    9,729.98/14,572.29 = 9,657.08/x
  3. Step 3: Cross multiply
    9,729.98x = 14,572.29 × 9,657.08
  4. Step 4: Simplify right side
    9,729.98x = 140,725,770.31
  5. Step 5: Solve for x
    x = 140,725,770.31/9,729.98
  6. Step 6: Final answer
    x = 14,463.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.