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Finding the Fourth Proportional to 15,146.27, 22,719.42 and 7,246.92

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Solution

The fourth proportional to 15,146.27, 22,719.42 and 7,246.92 is: 10,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.27 : 22,719.42 = 7,246.92 : x
  2. Step 2: Convert to fraction form
    15,146.27/22,719.42 = 7,246.92/x
  3. Step 3: Cross multiply
    15,146.27x = 22,719.42 × 7,246.92
  4. Step 4: Simplify right side
    15,146.27x = 164,645,904.38
  5. Step 5: Solve for x
    x = 164,645,904.38/15,146.27
  6. Step 6: Final answer
    x = 10,870.39

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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.