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Finding the Fourth Proportional to 6,620.32, 9,931.76 and 2,516

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Solution

The fourth proportional to 6,620.32, 9,931.76 and 2,516 is: 3,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.32 : 9,931.76 = 2,516 : x
  2. Step 2: Convert to fraction form
    6,620.32/9,931.76 = 2,516/x
  3. Step 3: Cross multiply
    6,620.32x = 9,931.76 × 2,516
  4. Step 4: Simplify right side
    6,620.32x = 24,988,308.16
  5. Step 5: Solve for x
    x = 24,988,308.16/6,620.32
  6. Step 6: Final answer
    x = 3,774.49

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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.