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Finding the Fourth Proportional to 9,961.62, 14,948.75 and 9,026.48

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Solution

The fourth proportional to 9,961.62, 14,948.75 and 9,026.48 is: 13,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.62 : 14,948.75 = 9,026.48 : x
  2. Step 2: Convert to fraction form
    9,961.62/14,948.75 = 9,026.48/x
  3. Step 3: Cross multiply
    9,961.62x = 14,948.75 × 9,026.48
  4. Step 4: Simplify right side
    9,961.62x = 134,934,473.02
  5. Step 5: Solve for x
    x = 134,934,473.02/9,961.62
  6. Step 6: Final answer
    x = 13,545.43

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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.