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Finding the Fourth Proportional to 5,699.55, 7,853.72 and 4,205.10

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Solution

The fourth proportional to 5,699.55, 7,853.72 and 4,205.10 is: 5,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.55 : 7,853.72 = 4,205.10 : x
  2. Step 2: Convert to fraction form
    5,699.55/7,853.72 = 4,205.10/x
  3. Step 3: Cross multiply
    5,699.55x = 7,853.72 × 4,205.10
  4. Step 4: Simplify right side
    5,699.55x = 33,025,656.95
  5. Step 5: Solve for x
    x = 33,025,656.95/5,699.55
  6. Step 6: Final answer
    x = 5,794.43

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Half 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.