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Finding the Fourth Proportional to 6,507.71, 9,761.58 and 1,577.34

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Solution

The fourth proportional to 6,507.71, 9,761.58 and 1,577.34 is: 2,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.71 : 9,761.58 = 1,577.34 : x
  2. Step 2: Convert to fraction form
    6,507.71/9,761.58 = 1,577.34/x
  3. Step 3: Cross multiply
    6,507.71x = 9,761.58 × 1,577.34
  4. Step 4: Simplify right side
    6,507.71x = 15,397,330.60
  5. Step 5: Solve for x
    x = 15,397,330.60/6,507.71
  6. Step 6: Final answer
    x = 2,366.01

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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.