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Finding the Fourth Proportional to 7,230.22, 9,980.94 and 4,246.24

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Solution

The fourth proportional to 7,230.22, 9,980.94 and 4,246.24 is: 5,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.22 : 9,980.94 = 4,246.24 : x
  2. Step 2: Convert to fraction form
    7,230.22/9,980.94 = 4,246.24/x
  3. Step 3: Cross multiply
    7,230.22x = 9,980.94 × 4,246.24
  4. Step 4: Simplify right side
    7,230.22x = 42,381,416.76
  5. Step 5: Solve for x
    x = 42,381,416.76/7,230.22
  6. Step 6: Final answer
    x = 5,861.71

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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.