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Finding the Fourth Proportional to 6,653.32, 9,981.26 and 2,549

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Solution

The fourth proportional to 6,653.32, 9,981.26 and 2,549 is: 3,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.32 : 9,981.26 = 2,549 : x
  2. Step 2: Convert to fraction form
    6,653.32/9,981.26 = 2,549/x
  3. Step 3: Cross multiply
    6,653.32x = 9,981.26 × 2,549
  4. Step 4: Simplify right side
    6,653.32x = 25,442,231.74
  5. Step 5: Solve for x
    x = 25,442,231.74/6,653.32
  6. Step 6: Final answer
    x = 3,823.99

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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.