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Finding the Fourth Proportional to 7,201.88, 9,942 and 4,216.76

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Solution

The fourth proportional to 7,201.88, 9,942 and 4,216.76 is: 5,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.88 : 9,942 = 4,216.76 : x
  2. Step 2: Convert to fraction form
    7,201.88/9,942 = 4,216.76/x
  3. Step 3: Cross multiply
    7,201.88x = 9,942 × 4,216.76
  4. Step 4: Simplify right side
    7,201.88x = 41,923,027.92
  5. Step 5: Solve for x
    x = 41,923,027.92/7,201.88
  6. Step 6: Final answer
    x = 5,821.12

Related Problems

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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.