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Finding the Fourth Proportional to 6,507.92, 9,761.79 and 1,577.60

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Solution

The fourth proportional to 6,507.92, 9,761.79 and 1,577.60 is: 2,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.92 : 9,761.79 = 1,577.60 : x
  2. Step 2: Convert to fraction form
    6,507.92/9,761.79 = 1,577.60/x
  3. Step 3: Cross multiply
    6,507.92x = 9,761.79 × 1,577.60
  4. Step 4: Simplify right side
    6,507.92x = 15,400,224.31
  5. Step 5: Solve for x
    x = 15,400,224.31/6,507.92
  6. Step 6: Final answer
    x = 2,366.38

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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.