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Finding the Fourth Proportional to 10,614.93, 15,904.67 and 7,489.77

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Solution

The fourth proportional to 10,614.93, 15,904.67 and 7,489.77 is: 11,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.93 : 15,904.67 = 7,489.77 : x
  2. Step 2: Convert to fraction form
    10,614.93/15,904.67 = 7,489.77/x
  3. Step 3: Cross multiply
    10,614.93x = 15,904.67 × 7,489.77
  4. Step 4: Simplify right side
    10,614.93x = 119,122,282.78
  5. Step 5: Solve for x
    x = 119,122,282.78/10,614.93
  6. Step 6: Final answer
    x = 11,222.14

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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.