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Finding the Fourth Proportional to 6,749.64, 10,122.02 and 2,854.35

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Solution

The fourth proportional to 6,749.64, 10,122.02 and 2,854.35 is: 4,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.64 : 10,122.02 = 2,854.35 : x
  2. Step 2: Convert to fraction form
    6,749.64/10,122.02 = 2,854.35/x
  3. Step 3: Cross multiply
    6,749.64x = 10,122.02 × 2,854.35
  4. Step 4: Simplify right side
    6,749.64x = 28,891,787.79
  5. Step 5: Solve for x
    x = 28,891,787.79/6,749.64
  6. Step 6: Final answer
    x = 4,280.49

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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.