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Finding the Fourth Proportional to 10,558.20, 15,822.90 and 8,614.20

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Solution

The fourth proportional to 10,558.20, 15,822.90 and 8,614.20 is: 12,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.20 : 15,822.90 = 8,614.20 : x
  2. Step 2: Convert to fraction form
    10,558.20/15,822.90 = 8,614.20/x
  3. Step 3: Cross multiply
    10,558.20x = 15,822.90 × 8,614.20
  4. Step 4: Simplify right side
    10,558.20x = 136,301,625.18
  5. Step 5: Solve for x
    x = 136,301,625.18/10,558.20
  6. Step 6: Final answer
    x = 12,909.55

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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.