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Finding the Fourth Proportional to 7,463.92, 10,299 and 4,319.52

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Solution

The fourth proportional to 7,463.92, 10,299 and 4,319.52 is: 5,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.92 : 10,299 = 4,319.52 : x
  2. Step 2: Convert to fraction form
    7,463.92/10,299 = 4,319.52/x
  3. Step 3: Cross multiply
    7,463.92x = 10,299 × 4,319.52
  4. Step 4: Simplify right side
    7,463.92x = 44,486,736.48
  5. Step 5: Solve for x
    x = 44,486,736.48/7,463.92
  6. Step 6: Final answer
    x = 5,960.24

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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.