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Finding the Fourth Proportional to 6,981.04, 9,630.60 and 4,461.92

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Solution

The fourth proportional to 6,981.04, 9,630.60 and 4,461.92 is: 6,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.04 : 9,630.60 = 4,461.92 : x
  2. Step 2: Convert to fraction form
    6,981.04/9,630.60 = 4,461.92/x
  3. Step 3: Cross multiply
    6,981.04x = 9,630.60 × 4,461.92
  4. Step 4: Simplify right side
    6,981.04x = 42,970,966.75
  5. Step 5: Solve for x
    x = 42,970,966.75/6,981.04
  6. Step 6: Final answer
    x = 6,155.38

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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.