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Finding the Fourth Proportional to 15,894.60, 23,850 and 6,541.80

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Solution

The fourth proportional to 15,894.60, 23,850 and 6,541.80 is: 9,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.60 : 23,850 = 6,541.80 : x
  2. Step 2: Convert to fraction form
    15,894.60/23,850 = 6,541.80/x
  3. Step 3: Cross multiply
    15,894.60x = 23,850 × 6,541.80
  4. Step 4: Simplify right side
    15,894.60x = 156,021,930
  5. Step 5: Solve for x
    x = 156,021,930/15,894.60
  6. Step 6: Final answer
    x = 9,816.03

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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.