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Finding the Fourth Proportional to 7,640.20, 10,542.90 and 4,496.20

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Solution

The fourth proportional to 7,640.20, 10,542.90 and 4,496.20 is: 6,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.20 : 10,542.90 = 4,496.20 : x
  2. Step 2: Convert to fraction form
    7,640.20/10,542.90 = 4,496.20/x
  3. Step 3: Cross multiply
    7,640.20x = 10,542.90 × 4,496.20
  4. Step 4: Simplify right side
    7,640.20x = 47,402,986.98
  5. Step 5: Solve for x
    x = 47,402,986.98/7,640.20
  6. Step 6: Final answer
    x = 6,204.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.