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Finding the Fourth Proportional to 6,433.32, 9,592.18 and 5,884.14

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Solution

The fourth proportional to 6,433.32, 9,592.18 and 5,884.14 is: 8,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.32 : 9,592.18 = 5,884.14 : x
  2. Step 2: Convert to fraction form
    6,433.32/9,592.18 = 5,884.14/x
  3. Step 3: Cross multiply
    6,433.32x = 9,592.18 × 5,884.14
  4. Step 4: Simplify right side
    6,433.32x = 56,441,730.03
  5. Step 5: Solve for x
    x = 56,441,730.03/6,433.32
  6. Step 6: Final answer
    x = 8,773.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.