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Finding the Fourth Proportional to 10,230.70, 15,346.05 and 5,046.70

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Solution

The fourth proportional to 10,230.70, 15,346.05 and 5,046.70 is: 7,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.70 : 15,346.05 = 5,046.70 : x
  2. Step 2: Convert to fraction form
    10,230.70/15,346.05 = 5,046.70/x
  3. Step 3: Cross multiply
    10,230.70x = 15,346.05 × 5,046.70
  4. Step 4: Simplify right side
    10,230.70x = 77,446,910.54
  5. Step 5: Solve for x
    x = 77,446,910.54/10,230.70
  6. Step 6: Final answer
    x = 7,570.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.