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Finding the Fourth Proportional to 10,291.30, 15,436.94 and 4,743

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Solution

The fourth proportional to 10,291.30, 15,436.94 and 4,743 is: 7,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.30 : 15,436.94 = 4,743 : x
  2. Step 2: Convert to fraction form
    10,291.30/15,436.94 = 4,743/x
  3. Step 3: Cross multiply
    10,291.30x = 15,436.94 × 4,743
  4. Step 4: Simplify right side
    10,291.30x = 73,217,418.28
  5. Step 5: Solve for x
    x = 73,217,418.28/10,291.30
  6. Step 6: Final answer
    x = 7,114.50

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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.