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Finding the Fourth Proportional to 10,978.80, 16,430.40 and 6,599.40

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Solution

The fourth proportional to 10,978.80, 16,430.40 and 6,599.40 is: 9,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.80 : 16,430.40 = 6,599.40 : x
  2. Step 2: Convert to fraction form
    10,978.80/16,430.40 = 6,599.40/x
  3. Step 3: Cross multiply
    10,978.80x = 16,430.40 × 6,599.40
  4. Step 4: Simplify right side
    10,978.80x = 108,430,781.76
  5. Step 5: Solve for x
    x = 108,430,781.76/10,978.80
  6. Step 6: Final answer
    x = 9,876.38

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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.