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Finding the Fourth Proportional to 15,760.86, 21,758.87 and 10,462.92

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Solution

The fourth proportional to 15,760.86, 21,758.87 and 10,462.92 is: 14,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.86 : 21,758.87 = 10,462.92 : x
  2. Step 2: Convert to fraction form
    15,760.86/21,758.87 = 10,462.92/x
  3. Step 3: Cross multiply
    15,760.86x = 21,758.87 × 10,462.92
  4. Step 4: Simplify right side
    15,760.86x = 227,661,316.10
  5. Step 5: Solve for x
    x = 227,661,316.10/15,760.86
  6. Step 6: Final answer
    x = 14,444.73

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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.