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Finding the Fourth Proportional to 5,272.64, 7,944.09 and 4,772.91

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Solution

The fourth proportional to 5,272.64, 7,944.09 and 4,772.91 is: 7,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.64 : 7,944.09 = 4,772.91 : x
  2. Step 2: Convert to fraction form
    5,272.64/7,944.09 = 4,772.91/x
  3. Step 3: Cross multiply
    5,272.64x = 7,944.09 × 4,772.91
  4. Step 4: Simplify right side
    5,272.64x = 37,916,426.60
  5. Step 5: Solve for x
    x = 37,916,426.60/5,272.64
  6. Step 6: Final answer
    x = 7,191.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.