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Finding the Fourth Proportional to 8,569.60, 12,854.40 and 8,229.40

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Solution

The fourth proportional to 8,569.60, 12,854.40 and 8,229.40 is: 12,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.60 : 12,854.40 = 8,229.40 : x
  2. Step 2: Convert to fraction form
    8,569.60/12,854.40 = 8,229.40/x
  3. Step 3: Cross multiply
    8,569.60x = 12,854.40 × 8,229.40
  4. Step 4: Simplify right side
    8,569.60x = 105,783,999.36
  5. Step 5: Solve for x
    x = 105,783,999.36/8,569.60
  6. Step 6: Final answer
    x = 12,344.10

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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.