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Finding the Fourth Proportional to 6,337.94, 9,502.85 and 5,559.50

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Solution

The fourth proportional to 6,337.94, 9,502.85 and 5,559.50 is: 8,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.94 : 9,502.85 = 5,559.50 : x
  2. Step 2: Convert to fraction form
    6,337.94/9,502.85 = 5,559.50/x
  3. Step 3: Cross multiply
    6,337.94x = 9,502.85 × 5,559.50
  4. Step 4: Simplify right side
    6,337.94x = 52,831,132.23
  5. Step 5: Solve for x
    x = 52,831,132.23/6,337.94
  6. Step 6: Final answer
    x = 8,335.70

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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.