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Finding the Fourth Proportional to 5,605.54, 7,737.69 and 4,555.78

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Solution

The fourth proportional to 5,605.54, 7,737.69 and 4,555.78 is: 6,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.54 : 7,737.69 = 4,555.78 : x
  2. Step 2: Convert to fraction form
    5,605.54/7,737.69 = 4,555.78/x
  3. Step 3: Cross multiply
    5,605.54x = 7,737.69 × 4,555.78
  4. Step 4: Simplify right side
    5,605.54x = 35,251,213.35
  5. Step 5: Solve for x
    x = 35,251,213.35/5,605.54
  6. Step 6: Final answer
    x = 6,288.64

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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.