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Finding the Fourth Proportional to 6,269, 8,648.76 and 4,030.52

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Solution

The fourth proportional to 6,269, 8,648.76 and 4,030.52 is: 5,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269 : 8,648.76 = 4,030.52 : x
  2. Step 2: Convert to fraction form
    6,269/8,648.76 = 4,030.52/x
  3. Step 3: Cross multiply
    6,269x = 8,648.76 × 4,030.52
  4. Step 4: Simplify right side
    6,269x = 34,859,000.16
  5. Step 5: Solve for x
    x = 34,859,000.16/6,269
  6. Step 6: Final answer
    x = 5,560.54

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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.