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Finding the Fourth Proportional to 6,444.56, 9,666.84 and 5,468.24

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Solution

The fourth proportional to 6,444.56, 9,666.84 and 5,468.24 is: 8,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.56 : 9,666.84 = 5,468.24 : x
  2. Step 2: Convert to fraction form
    6,444.56/9,666.84 = 5,468.24/x
  3. Step 3: Cross multiply
    6,444.56x = 9,666.84 × 5,468.24
  4. Step 4: Simplify right side
    6,444.56x = 52,860,601.16
  5. Step 5: Solve for x
    x = 52,860,601.16/6,444.56
  6. Step 6: Final answer
    x = 8,202.36

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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.