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Finding the Fourth Proportional to 9,754.72, 14,632.92 and 7,154.55

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Solution

The fourth proportional to 9,754.72, 14,632.92 and 7,154.55 is: 10,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.72 : 14,632.92 = 7,154.55 : x
  2. Step 2: Convert to fraction form
    9,754.72/14,632.92 = 7,154.55/x
  3. Step 3: Cross multiply
    9,754.72x = 14,632.92 × 7,154.55
  4. Step 4: Simplify right side
    9,754.72x = 104,691,957.79
  5. Step 5: Solve for x
    x = 104,691,957.79/9,754.72
  6. Step 6: Final answer
    x = 10,732.44

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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.