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Finding the Fourth Proportional to 6,385.30, 8,808.62 and 4,966.52

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Solution

The fourth proportional to 6,385.30, 8,808.62 and 4,966.52 is: 6,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.30 : 8,808.62 = 4,966.52 : x
  2. Step 2: Convert to fraction form
    6,385.30/8,808.62 = 4,966.52/x
  3. Step 3: Cross multiply
    6,385.30x = 8,808.62 × 4,966.52
  4. Step 4: Simplify right side
    6,385.30x = 43,748,118.53
  5. Step 5: Solve for x
    x = 43,748,118.53/6,385.30
  6. Step 6: Final answer
    x = 6,851.38

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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.