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Finding the Fourth Proportional to 9,992.40, 14,972.40 and 9,409.20

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Solution

The fourth proportional to 9,992.40, 14,972.40 and 9,409.20 is: 14,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.40 : 14,972.40 = 9,409.20 : x
  2. Step 2: Convert to fraction form
    9,992.40/14,972.40 = 9,409.20/x
  3. Step 3: Cross multiply
    9,992.40x = 14,972.40 × 9,409.20
  4. Step 4: Simplify right side
    9,992.40x = 140,878,306.08
  5. Step 5: Solve for x
    x = 140,878,306.08/9,992.40
  6. Step 6: Final answer
    x = 14,098.55

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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.