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Finding the Fourth Proportional to 7,801.54, 10,766.13 and 4,264.75

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Solution

The fourth proportional to 7,801.54, 10,766.13 and 4,264.75 is: 5,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.54 : 10,766.13 = 4,264.75 : x
  2. Step 2: Convert to fraction form
    7,801.54/10,766.13 = 4,264.75/x
  3. Step 3: Cross multiply
    7,801.54x = 10,766.13 × 4,264.75
  4. Step 4: Simplify right side
    7,801.54x = 45,914,850.38
  5. Step 5: Solve for x
    x = 45,914,850.38/7,801.54
  6. Step 6: Final answer
    x = 5,885.36

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Half scale
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Double scale
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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.