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Finding the Fourth Proportional to 5,173.64, 7,761.42 and 1,710.92

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Solution

The fourth proportional to 5,173.64, 7,761.42 and 1,710.92 is: 2,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.64 : 7,761.42 = 1,710.92 : x
  2. Step 2: Convert to fraction form
    5,173.64/7,761.42 = 1,710.92/x
  3. Step 3: Cross multiply
    5,173.64x = 7,761.42 × 1,710.92
  4. Step 4: Simplify right side
    5,173.64x = 13,279,168.71
  5. Step 5: Solve for x
    x = 13,279,168.71/5,173.64
  6. Step 6: Final answer
    x = 2,566.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.