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Finding the Fourth Proportional to 9,410.54, 14,118.12 and 6,642.62

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Solution

The fourth proportional to 9,410.54, 14,118.12 and 6,642.62 is: 9,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.54 : 14,118.12 = 6,642.62 : x
  2. Step 2: Convert to fraction form
    9,410.54/14,118.12 = 6,642.62/x
  3. Step 3: Cross multiply
    9,410.54x = 14,118.12 × 6,642.62
  4. Step 4: Simplify right side
    9,410.54x = 93,781,306.27
  5. Step 5: Solve for x
    x = 93,781,306.27/9,410.54
  6. Step 6: Final answer
    x = 9,965.56

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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.