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Finding the Fourth Proportional to 7,222.73, 9,965.11 and 4,238.69

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Solution

The fourth proportional to 7,222.73, 9,965.11 and 4,238.69 is: 5,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.73 : 9,965.11 = 4,238.69 : x
  2. Step 2: Convert to fraction form
    7,222.73/9,965.11 = 4,238.69/x
  3. Step 3: Cross multiply
    7,222.73x = 9,965.11 × 4,238.69
  4. Step 4: Simplify right side
    7,222.73x = 42,239,012.11
  5. Step 5: Solve for x
    x = 42,239,012.11/7,222.73
  6. Step 6: Final answer
    x = 5,848.07

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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.