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Finding the Fourth Proportional to 6,407.34, 9,610.29 and 1,727.81

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Solution

The fourth proportional to 6,407.34, 9,610.29 and 1,727.81 is: 2,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.34 : 9,610.29 = 1,727.81 : x
  2. Step 2: Convert to fraction form
    6,407.34/9,610.29 = 1,727.81/x
  3. Step 3: Cross multiply
    6,407.34x = 9,610.29 × 1,727.81
  4. Step 4: Simplify right side
    6,407.34x = 16,604,755.16
  5. Step 5: Solve for x
    x = 16,604,755.16/6,407.34
  6. Step 6: Final answer
    x = 2,591.52

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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.