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Finding the Fourth Proportional to 5,693.85, 7,855.32 and 3,454.92

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Solution

The fourth proportional to 5,693.85, 7,855.32 and 3,454.92 is: 4,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.85 : 7,855.32 = 3,454.92 : x
  2. Step 2: Convert to fraction form
    5,693.85/7,855.32 = 3,454.92/x
  3. Step 3: Cross multiply
    5,693.85x = 7,855.32 × 3,454.92
  4. Step 4: Simplify right side
    5,693.85x = 27,139,502.17
  5. Step 5: Solve for x
    x = 27,139,502.17/5,693.85
  6. Step 6: Final answer
    x = 4,766.46

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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.