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Finding the Fourth Proportional to 12,788.12, 17,648.09 and 7,410.74

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Solution

The fourth proportional to 12,788.12, 17,648.09 and 7,410.74 is: 10,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.12 : 17,648.09 = 7,410.74 : x
  2. Step 2: Convert to fraction form
    12,788.12/17,648.09 = 7,410.74/x
  3. Step 3: Cross multiply
    12,788.12x = 17,648.09 × 7,410.74
  4. Step 4: Simplify right side
    12,788.12x = 130,785,308.98
  5. Step 5: Solve for x
    x = 130,785,308.98/12,788.12
  6. Step 6: Final answer
    x = 10,227.10

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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.