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Finding the Fourth Proportional to 10,074, 15,113.16 and 4,235.52

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Solution

The fourth proportional to 10,074, 15,113.16 and 4,235.52 is: 6,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 15,113.16 = 4,235.52 : x
  2. Step 2: Convert to fraction form
    10,074/15,113.16 = 4,235.52/x
  3. Step 3: Cross multiply
    10,074x = 15,113.16 × 4,235.52
  4. Step 4: Simplify right side
    10,074x = 64,012,091.44
  5. Step 5: Solve for x
    x = 64,012,091.44/10,074
  6. Step 6: Final answer
    x = 6,354.19

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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.