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Finding the Fourth Proportional to 5,552.46, 7,658.86 and 4,223.25

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Solution

The fourth proportional to 5,552.46, 7,658.86 and 4,223.25 is: 5,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.46 : 7,658.86 = 4,223.25 : x
  2. Step 2: Convert to fraction form
    5,552.46/7,658.86 = 4,223.25/x
  3. Step 3: Cross multiply
    5,552.46x = 7,658.86 × 4,223.25
  4. Step 4: Simplify right side
    5,552.46x = 32,345,280.50
  5. Step 5: Solve for x
    x = 32,345,280.50/5,552.46
  6. Step 6: Final answer
    x = 5,825.40

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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.