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Finding the Fourth Proportional to 6,503.50, 8,978.70 and 4,269.29

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Solution

The fourth proportional to 6,503.50, 8,978.70 and 4,269.29 is: 5,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.50 : 8,978.70 = 4,269.29 : x
  2. Step 2: Convert to fraction form
    6,503.50/8,978.70 = 4,269.29/x
  3. Step 3: Cross multiply
    6,503.50x = 8,978.70 × 4,269.29
  4. Step 4: Simplify right side
    6,503.50x = 38,332,621.22
  5. Step 5: Solve for x
    x = 38,332,621.22/6,503.50
  6. Step 6: Final answer
    x = 5,894.15

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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.