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Finding the Fourth Proportional to 18,098.61, 24,975.16 and 9,922.06

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Solution

The fourth proportional to 18,098.61, 24,975.16 and 9,922.06 is: 13,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.61 : 24,975.16 = 9,922.06 : x
  2. Step 2: Convert to fraction form
    18,098.61/24,975.16 = 9,922.06/x
  3. Step 3: Cross multiply
    18,098.61x = 24,975.16 × 9,922.06
  4. Step 4: Simplify right side
    18,098.61x = 247,805,036.03
  5. Step 5: Solve for x
    x = 247,805,036.03/18,098.61
  6. Step 6: Final answer
    x = 13,691.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.