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Finding the Fourth Proportional to 8,253.64, 11,382.42 and 7,657.48

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Solution

The fourth proportional to 8,253.64, 11,382.42 and 7,657.48 is: 10,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.64 : 11,382.42 = 7,657.48 : x
  2. Step 2: Convert to fraction form
    8,253.64/11,382.42 = 7,657.48/x
  3. Step 3: Cross multiply
    8,253.64x = 11,382.42 × 7,657.48
  4. Step 4: Simplify right side
    8,253.64x = 87,160,653.50
  5. Step 5: Solve for x
    x = 87,160,653.50/8,253.64
  6. Step 6: Final answer
    x = 10,560.27

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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.