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Finding the Fourth Proportional to 5,938.35, 8,205.77 and 5,650.13

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Solution

The fourth proportional to 5,938.35, 8,205.77 and 5,650.13 is: 7,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.35 : 8,205.77 = 5,650.13 : x
  2. Step 2: Convert to fraction form
    5,938.35/8,205.77 = 5,650.13/x
  3. Step 3: Cross multiply
    5,938.35x = 8,205.77 × 5,650.13
  4. Step 4: Simplify right side
    5,938.35x = 46,363,654.97
  5. Step 5: Solve for x
    x = 46,363,654.97/5,938.35
  6. Step 6: Final answer
    x = 7,807.50

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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.