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Finding the Fourth Proportional to 10,538.92, 14,543.90 and 5,823.10

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Solution

The fourth proportional to 10,538.92, 14,543.90 and 5,823.10 is: 8,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.92 : 14,543.90 = 5,823.10 : x
  2. Step 2: Convert to fraction form
    10,538.92/14,543.90 = 5,823.10/x
  3. Step 3: Cross multiply
    10,538.92x = 14,543.90 × 5,823.10
  4. Step 4: Simplify right side
    10,538.92x = 84,690,584.09
  5. Step 5: Solve for x
    x = 84,690,584.09/10,538.92
  6. Step 6: Final answer
    x = 8,035.98

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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.