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Finding the Fourth Proportional to 6,821.24, 9,411.58 and 4,167.68

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Solution

The fourth proportional to 6,821.24, 9,411.58 and 4,167.68 is: 5,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.24 : 9,411.58 = 4,167.68 : x
  2. Step 2: Convert to fraction form
    6,821.24/9,411.58 = 4,167.68/x
  3. Step 3: Cross multiply
    6,821.24x = 9,411.58 × 4,167.68
  4. Step 4: Simplify right side
    6,821.24x = 39,224,453.73
  5. Step 5: Solve for x
    x = 39,224,453.73/6,821.24
  6. Step 6: Final answer
    x = 5,750.34

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Half scale
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Double scale
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Similar ratio
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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.