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Finding the Fourth Proportional to 5,084.54, 6,995.49 and 4,484.42

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Solution

The fourth proportional to 5,084.54, 6,995.49 and 4,484.42 is: 6,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.54 : 6,995.49 = 4,484.42 : x
  2. Step 2: Convert to fraction form
    5,084.54/6,995.49 = 4,484.42/x
  3. Step 3: Cross multiply
    5,084.54x = 6,995.49 × 4,484.42
  4. Step 4: Simplify right side
    5,084.54x = 31,370,715.27
  5. Step 5: Solve for x
    x = 31,370,715.27/5,084.54
  6. Step 6: Final answer
    x = 6,169.82

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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.