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Finding the Fourth Proportional to 6,370.16, 9,552 and 6,100.88

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Solution

The fourth proportional to 6,370.16, 9,552 and 6,100.88 is: 9,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.16 : 9,552 = 6,100.88 : x
  2. Step 2: Convert to fraction form
    6,370.16/9,552 = 6,100.88/x
  3. Step 3: Cross multiply
    6,370.16x = 9,552 × 6,100.88
  4. Step 4: Simplify right side
    6,370.16x = 58,275,605.76
  5. Step 5: Solve for x
    x = 58,275,605.76/6,370.16
  6. Step 6: Final answer
    x = 9,148.22

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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.