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Finding the Fourth Proportional to 5,644.95, 8,471.07 and 4,261.47

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Solution

The fourth proportional to 5,644.95, 8,471.07 and 4,261.47 is: 6,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.95 : 8,471.07 = 4,261.47 : x
  2. Step 2: Convert to fraction form
    5,644.95/8,471.07 = 4,261.47/x
  3. Step 3: Cross multiply
    5,644.95x = 8,471.07 × 4,261.47
  4. Step 4: Simplify right side
    5,644.95x = 36,099,210.67
  5. Step 5: Solve for x
    x = 36,099,210.67/5,644.95
  6. Step 6: Final answer
    x = 6,394.96

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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.