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Finding the Fourth Proportional to 19,641.68, 29,467.38 and 9,251

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Solution

The fourth proportional to 19,641.68, 29,467.38 and 9,251 is: 13,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.68 : 29,467.38 = 9,251 : x
  2. Step 2: Convert to fraction form
    19,641.68/29,467.38 = 9,251/x
  3. Step 3: Cross multiply
    19,641.68x = 29,467.38 × 9,251
  4. Step 4: Simplify right side
    19,641.68x = 272,602,732.38
  5. Step 5: Solve for x
    x = 272,602,732.38/19,641.68
  6. Step 6: Final answer
    x = 13,878.79

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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.