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Finding the Fourth Proportional to 5,200.93, 7,162.99 and 4,792.69

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Solution

The fourth proportional to 5,200.93, 7,162.99 and 4,792.69 is: 6,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.93 : 7,162.99 = 4,792.69 : x
  2. Step 2: Convert to fraction form
    5,200.93/7,162.99 = 4,792.69/x
  3. Step 3: Cross multiply
    5,200.93x = 7,162.99 × 4,792.69
  4. Step 4: Simplify right side
    5,200.93x = 34,329,990.54
  5. Step 5: Solve for x
    x = 34,329,990.54/5,200.93
  6. Step 6: Final answer
    x = 6,600.74

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Half scale
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Double scale
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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.