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Finding the Fourth Proportional to 12,702.58, 17,529.01 and 7,037.55

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Solution

The fourth proportional to 12,702.58, 17,529.01 and 7,037.55 is: 9,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.58 : 17,529.01 = 7,037.55 : x
  2. Step 2: Convert to fraction form
    12,702.58/17,529.01 = 7,037.55/x
  3. Step 3: Cross multiply
    12,702.58x = 17,529.01 × 7,037.55
  4. Step 4: Simplify right side
    12,702.58x = 123,361,266.73
  5. Step 5: Solve for x
    x = 123,361,266.73/12,702.58
  6. Step 6: Final answer
    x = 9,711.51

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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.