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Finding the Fourth Proportional to 24,746, 37,121.16 and 6,278

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Solution

The fourth proportional to 24,746, 37,121.16 and 6,278 is: 9,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746 : 37,121.16 = 6,278 : x
  2. Step 2: Convert to fraction form
    24,746/37,121.16 = 6,278/x
  3. Step 3: Cross multiply
    24,746x = 37,121.16 × 6,278
  4. Step 4: Simplify right side
    24,746x = 233,046,642.48
  5. Step 5: Solve for x
    x = 233,046,642.48/24,746
  6. Step 6: Final answer
    x = 9,417.55

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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.