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Finding the Fourth Proportional to 10,614.59, 15,923.70 and 5,682.90

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Solution

The fourth proportional to 10,614.59, 15,923.70 and 5,682.90 is: 8,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.59 : 15,923.70 = 5,682.90 : x
  2. Step 2: Convert to fraction form
    10,614.59/15,923.70 = 5,682.90/x
  3. Step 3: Cross multiply
    10,614.59x = 15,923.70 × 5,682.90
  4. Step 4: Simplify right side
    10,614.59x = 90,492,794.73
  5. Step 5: Solve for x
    x = 90,492,794.73/10,614.59
  6. Step 6: Final answer
    x = 8,525.33

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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.