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Finding the Fourth Proportional to 6,444.96, 9,655.20 and 5,411.76

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Solution

The fourth proportional to 6,444.96, 9,655.20 and 5,411.76 is: 8,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.96 : 9,655.20 = 5,411.76 : x
  2. Step 2: Convert to fraction form
    6,444.96/9,655.20 = 5,411.76/x
  3. Step 3: Cross multiply
    6,444.96x = 9,655.20 × 5,411.76
  4. Step 4: Simplify right side
    6,444.96x = 52,251,625.15
  5. Step 5: Solve for x
    x = 52,251,625.15/6,444.96
  6. Step 6: Final answer
    x = 8,107.36

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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.