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Finding the Fourth Proportional to 11,442.97, 15,792.86 and 6,905.87

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Solution

The fourth proportional to 11,442.97, 15,792.86 and 6,905.87 is: 9,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.97 : 15,792.86 = 6,905.87 : x
  2. Step 2: Convert to fraction form
    11,442.97/15,792.86 = 6,905.87/x
  3. Step 3: Cross multiply
    11,442.97x = 15,792.86 × 6,905.87
  4. Step 4: Simplify right side
    11,442.97x = 109,063,485.60
  5. Step 5: Solve for x
    x = 109,063,485.60/11,442.97
  6. Step 6: Final answer
    x = 9,531.05

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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.