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Finding the Fourth Proportional to 15,102.48, 22,641.12 and 8,847.12

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Solution

The fourth proportional to 15,102.48, 22,641.12 and 8,847.12 is: 13,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.48 : 22,641.12 = 8,847.12 : x
  2. Step 2: Convert to fraction form
    15,102.48/22,641.12 = 8,847.12/x
  3. Step 3: Cross multiply
    15,102.48x = 22,641.12 × 8,847.12
  4. Step 4: Simplify right side
    15,102.48x = 200,308,705.57
  5. Step 5: Solve for x
    x = 200,308,705.57/15,102.48
  6. Step 6: Final answer
    x = 13,263.30

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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.