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Finding the Fourth Proportional to 12,402.54, 17,115.48 and 7,097.46

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Solution

The fourth proportional to 12,402.54, 17,115.48 and 7,097.46 is: 9,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.54 : 17,115.48 = 7,097.46 : x
  2. Step 2: Convert to fraction form
    12,402.54/17,115.48 = 7,097.46/x
  3. Step 3: Cross multiply
    12,402.54x = 17,115.48 × 7,097.46
  4. Step 4: Simplify right side
    12,402.54x = 121,476,434.68
  5. Step 5: Solve for x
    x = 121,476,434.68/12,402.54
  6. Step 6: Final answer
    x = 9,794.48

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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.