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Finding the Fourth Proportional to 4,073.62, 6,148.69 and 4,073.62

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Solution

The fourth proportional to 4,073.62, 6,148.69 and 4,073.62 is: 6,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.62 : 6,148.69 = 4,073.62 : x
  2. Step 2: Convert to fraction form
    4,073.62/6,148.69 = 4,073.62/x
  3. Step 3: Cross multiply
    4,073.62x = 6,148.69 × 4,073.62
  4. Step 4: Simplify right side
    4,073.62x = 25,047,426.56
  5. Step 5: Solve for x
    x = 25,047,426.56/4,073.62
  6. Step 6: Final answer
    x = 6,148.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.