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Finding the Fourth Proportional to 15,894.53, 23,841.82 and 5,506.28

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Solution

The fourth proportional to 15,894.53, 23,841.82 and 5,506.28 is: 8,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.53 : 23,841.82 = 5,506.28 : x
  2. Step 2: Convert to fraction form
    15,894.53/23,841.82 = 5,506.28/x
  3. Step 3: Cross multiply
    15,894.53x = 23,841.82 × 5,506.28
  4. Step 4: Simplify right side
    15,894.53x = 131,279,736.63
  5. Step 5: Solve for x
    x = 131,279,736.63/15,894.53
  6. Step 6: Final answer
    x = 8,259.43

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1.5x scale

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.