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Finding the Fourth Proportional to 10,295.82, 15,414.30 and 9,641.90

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Solution

The fourth proportional to 10,295.82, 15,414.30 and 9,641.90 is: 14,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.82 : 15,414.30 = 9,641.90 : x
  2. Step 2: Convert to fraction form
    10,295.82/15,414.30 = 9,641.90/x
  3. Step 3: Cross multiply
    10,295.82x = 15,414.30 × 9,641.90
  4. Step 4: Simplify right side
    10,295.82x = 148,623,062.10
  5. Step 5: Solve for x
    x = 148,623,062.10/10,295.82
  6. Step 6: Final answer
    x = 14,435.28

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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.