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Finding the Fourth Proportional to 6,952.76, 10,430.10 and 2,337.08

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Solution

The fourth proportional to 6,952.76, 10,430.10 and 2,337.08 is: 3,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.76 : 10,430.10 = 2,337.08 : x
  2. Step 2: Convert to fraction form
    6,952.76/10,430.10 = 2,337.08/x
  3. Step 3: Cross multiply
    6,952.76x = 10,430.10 × 2,337.08
  4. Step 4: Simplify right side
    6,952.76x = 24,375,978.11
  5. Step 5: Solve for x
    x = 24,375,978.11/6,952.76
  6. Step 6: Final answer
    x = 3,505.94

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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.