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Finding the Fourth Proportional to 12,253.04, 16,901.12 and 9,731.15

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Solution

The fourth proportional to 12,253.04, 16,901.12 and 9,731.15 is: 13,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.04 : 16,901.12 = 9,731.15 : x
  2. Step 2: Convert to fraction form
    12,253.04/16,901.12 = 9,731.15/x
  3. Step 3: Cross multiply
    12,253.04x = 16,901.12 × 9,731.15
  4. Step 4: Simplify right side
    12,253.04x = 164,467,200.73
  5. Step 5: Solve for x
    x = 164,467,200.73/12,253.04
  6. Step 6: Final answer
    x = 13,422.57

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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.