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Finding the Fourth Proportional to 8,842.10, 13,188.65 and 8,229.74

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Solution

The fourth proportional to 8,842.10, 13,188.65 and 8,229.74 is: 12,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.10 : 13,188.65 = 8,229.74 : x
  2. Step 2: Convert to fraction form
    8,842.10/13,188.65 = 8,229.74/x
  3. Step 3: Cross multiply
    8,842.10x = 13,188.65 × 8,229.74
  4. Step 4: Simplify right side
    8,842.10x = 108,539,160.45
  5. Step 5: Solve for x
    x = 108,539,160.45/8,842.10
  6. Step 6: Final answer
    x = 12,275.27

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1.5x scale

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.