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Finding the Fourth Proportional to 9,471.57, 13,065.96 and 7,229.55

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Solution

The fourth proportional to 9,471.57, 13,065.96 and 7,229.55 is: 9,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.57 : 13,065.96 = 7,229.55 : x
  2. Step 2: Convert to fraction form
    9,471.57/13,065.96 = 7,229.55/x
  3. Step 3: Cross multiply
    9,471.57x = 13,065.96 × 7,229.55
  4. Step 4: Simplify right side
    9,471.57x = 94,461,011.12
  5. Step 5: Solve for x
    x = 94,461,011.12/9,471.57
  6. Step 6: Final answer
    x = 9,973.11

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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.