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Finding the Fourth Proportional to 12,635.74, 17,437.36 and 7,047.10

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Solution

The fourth proportional to 12,635.74, 17,437.36 and 7,047.10 is: 9,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.74 : 17,437.36 = 7,047.10 : x
  2. Step 2: Convert to fraction form
    12,635.74/17,437.36 = 7,047.10/x
  3. Step 3: Cross multiply
    12,635.74x = 17,437.36 × 7,047.10
  4. Step 4: Simplify right side
    12,635.74x = 122,882,819.66
  5. Step 5: Solve for x
    x = 122,882,819.66/12,635.74
  6. Step 6: Final answer
    x = 9,725.02

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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.