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Finding the Fourth Proportional to 15,952.94, 22,014.12 and 9,238.10

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Solution

The fourth proportional to 15,952.94, 22,014.12 and 9,238.10 is: 12,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.94 : 22,014.12 = 9,238.10 : x
  2. Step 2: Convert to fraction form
    15,952.94/22,014.12 = 9,238.10/x
  3. Step 3: Cross multiply
    15,952.94x = 22,014.12 × 9,238.10
  4. Step 4: Simplify right side
    15,952.94x = 203,368,641.97
  5. Step 5: Solve for x
    x = 203,368,641.97/15,952.94
  6. Step 6: Final answer
    x = 12,748.04

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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.