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Finding the Fourth Proportional to 10,585.48, 15,800.92 and 9,814.60

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Solution

The fourth proportional to 10,585.48, 15,800.92 and 9,814.60 is: 14,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.48 : 15,800.92 = 9,814.60 : x
  2. Step 2: Convert to fraction form
    10,585.48/15,800.92 = 9,814.60/x
  3. Step 3: Cross multiply
    10,585.48x = 15,800.92 × 9,814.60
  4. Step 4: Simplify right side
    10,585.48x = 155,079,709.43
  5. Step 5: Solve for x
    x = 155,079,709.43/10,585.48
  6. Step 6: Final answer
    x = 14,650.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.