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Finding the Fourth Proportional to 12,283.88, 16,951.32 and 7,248.32

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Solution

The fourth proportional to 12,283.88, 16,951.32 and 7,248.32 is: 10,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.88 : 16,951.32 = 7,248.32 : x
  2. Step 2: Convert to fraction form
    12,283.88/16,951.32 = 7,248.32/x
  3. Step 3: Cross multiply
    12,283.88x = 16,951.32 × 7,248.32
  4. Step 4: Simplify right side
    12,283.88x = 122,868,591.78
  5. Step 5: Solve for x
    x = 122,868,591.78/12,283.88
  6. Step 6: Final answer
    x = 10,002.43

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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.