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Finding the Fourth Proportional to 6,423.66, 8,854.36 and 4,849.02

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Solution

The fourth proportional to 6,423.66, 8,854.36 and 4,849.02 is: 6,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.66 : 8,854.36 = 4,849.02 : x
  2. Step 2: Convert to fraction form
    6,423.66/8,854.36 = 4,849.02/x
  3. Step 3: Cross multiply
    6,423.66x = 8,854.36 × 4,849.02
  4. Step 4: Simplify right side
    6,423.66x = 42,934,968.73
  5. Step 5: Solve for x
    x = 42,934,968.73/6,423.66
  6. Step 6: Final answer
    x = 6,683.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.