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Finding the Fourth Proportional to 10,534.60, 15,773.10 and 8,230.60

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Solution

The fourth proportional to 10,534.60, 15,773.10 and 8,230.60 is: 12,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.60 : 15,773.10 = 8,230.60 : x
  2. Step 2: Convert to fraction form
    10,534.60/15,773.10 = 8,230.60/x
  3. Step 3: Cross multiply
    10,534.60x = 15,773.10 × 8,230.60
  4. Step 4: Simplify right side
    10,534.60x = 129,822,076.86
  5. Step 5: Solve for x
    x = 129,822,076.86/10,534.60
  6. Step 6: Final answer
    x = 12,323.40

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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.