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Finding the Fourth Proportional to 5,567, 7,682.58 and 3,208.76

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Solution

The fourth proportional to 5,567, 7,682.58 and 3,208.76 is: 4,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567 : 7,682.58 = 3,208.76 : x
  2. Step 2: Convert to fraction form
    5,567/7,682.58 = 3,208.76/x
  3. Step 3: Cross multiply
    5,567x = 7,682.58 × 3,208.76
  4. Step 4: Simplify right side
    5,567x = 24,651,555.40
  5. Step 5: Solve for x
    x = 24,651,555.40/5,567
  6. Step 6: Final answer
    x = 4,428.16

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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.