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Finding the Fourth Proportional to 15,828, 23,741.88 and 6,466

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Solution

The fourth proportional to 15,828, 23,741.88 and 6,466 is: 9,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828 : 23,741.88 = 6,466 : x
  2. Step 2: Convert to fraction form
    15,828/23,741.88 = 6,466/x
  3. Step 3: Cross multiply
    15,828x = 23,741.88 × 6,466
  4. Step 4: Simplify right side
    15,828x = 153,514,996.08
  5. Step 5: Solve for x
    x = 153,514,996.08/15,828
  6. Step 6: Final answer
    x = 9,698.95

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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.