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Finding the Fourth Proportional to 6,596.72, 9,897.24 and 3,518

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Solution

The fourth proportional to 6,596.72, 9,897.24 and 3,518 is: 5,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.72 : 9,897.24 = 3,518 : x
  2. Step 2: Convert to fraction form
    6,596.72/9,897.24 = 3,518/x
  3. Step 3: Cross multiply
    6,596.72x = 9,897.24 × 3,518
  4. Step 4: Simplify right side
    6,596.72x = 34,818,490.32
  5. Step 5: Solve for x
    x = 34,818,490.32/6,596.72
  6. Step 6: Final answer
    x = 5,278.15

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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.