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Finding the Fourth Proportional to 6,493.76, 8,965.68 and 4,999.04

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Solution

The fourth proportional to 6,493.76, 8,965.68 and 4,999.04 is: 6,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.76 : 8,965.68 = 4,999.04 : x
  2. Step 2: Convert to fraction form
    6,493.76/8,965.68 = 4,999.04/x
  3. Step 3: Cross multiply
    6,493.76x = 8,965.68 × 4,999.04
  4. Step 4: Simplify right side
    6,493.76x = 44,819,792.95
  5. Step 5: Solve for x
    x = 44,819,792.95/6,493.76
  6. Step 6: Final answer
    x = 6,901.98

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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.