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Finding the Fourth Proportional to 5,197.16, 7,728.97 and 5,033.12

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Solution

The fourth proportional to 5,197.16, 7,728.97 and 5,033.12 is: 7,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.16 : 7,728.97 = 5,033.12 : x
  2. Step 2: Convert to fraction form
    5,197.16/7,728.97 = 5,033.12/x
  3. Step 3: Cross multiply
    5,197.16x = 7,728.97 × 5,033.12
  4. Step 4: Simplify right side
    5,197.16x = 38,900,833.49
  5. Step 5: Solve for x
    x = 38,900,833.49/5,197.16
  6. Step 6: Final answer
    x = 7,485.02

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.