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Finding the Fourth Proportional to 12,141.71, 16,754.07 and 7,037.20

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Solution

The fourth proportional to 12,141.71, 16,754.07 and 7,037.20 is: 9,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.71 : 16,754.07 = 7,037.20 : x
  2. Step 2: Convert to fraction form
    12,141.71/16,754.07 = 7,037.20/x
  3. Step 3: Cross multiply
    12,141.71x = 16,754.07 × 7,037.20
  4. Step 4: Simplify right side
    12,141.71x = 117,901,788.74
  5. Step 5: Solve for x
    x = 117,901,788.74/12,141.71
  6. Step 6: Final answer
    x = 9,710.48

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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.