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Finding the Fourth Proportional to 7,190.58, 9,922.98 and 4,046.76

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Solution

The fourth proportional to 7,190.58, 9,922.98 and 4,046.76 is: 5,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.58 : 9,922.98 = 4,046.76 : x
  2. Step 2: Convert to fraction form
    7,190.58/9,922.98 = 4,046.76/x
  3. Step 3: Cross multiply
    7,190.58x = 9,922.98 × 4,046.76
  4. Step 4: Simplify right side
    7,190.58x = 40,155,918.54
  5. Step 5: Solve for x
    x = 40,155,918.54/7,190.58
  6. Step 6: Final answer
    x = 5,584.52

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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.