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Finding the Fourth Proportional to 15,882.95, 21,921.30 and 9,167.65

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Solution

The fourth proportional to 15,882.95, 21,921.30 and 9,167.65 is: 12,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.95 : 21,921.30 = 9,167.65 : x
  2. Step 2: Convert to fraction form
    15,882.95/21,921.30 = 9,167.65/x
  3. Step 3: Cross multiply
    15,882.95x = 21,921.30 × 9,167.65
  4. Step 4: Simplify right side
    15,882.95x = 200,966,751.14
  5. Step 5: Solve for x
    x = 200,966,751.14/15,882.95
  6. Step 6: Final answer
    x = 12,652.98

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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.