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Finding the Fourth Proportional to 15,610, 23,418.78 and 6,376

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Solution

The fourth proportional to 15,610, 23,418.78 and 6,376 is: 9,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,610 : 23,418.78 = 6,376 : x
  2. Step 2: Convert to fraction form
    15,610/23,418.78 = 6,376/x
  3. Step 3: Cross multiply
    15,610x = 23,418.78 × 6,376
  4. Step 4: Simplify right side
    15,610x = 149,318,141.28
  5. Step 5: Solve for x
    x = 149,318,141.28/15,610
  6. Step 6: Final answer
    x = 9,565.54

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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.