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Finding the Fourth Proportional to 9,258.90, 12,769.17 and 6,564.78

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Solution

The fourth proportional to 9,258.90, 12,769.17 and 6,564.78 is: 9,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.90 : 12,769.17 = 6,564.78 : x
  2. Step 2: Convert to fraction form
    9,258.90/12,769.17 = 6,564.78/x
  3. Step 3: Cross multiply
    9,258.90x = 12,769.17 × 6,564.78
  4. Step 4: Simplify right side
    9,258.90x = 83,826,791.83
  5. Step 5: Solve for x
    x = 83,826,791.83/9,258.90
  6. Step 6: Final answer
    x = 9,053.64

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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.