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Finding the Fourth Proportional to 7,309.92, 10,970.55 and 2,930.25

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Solution

The fourth proportional to 7,309.92, 10,970.55 and 2,930.25 is: 4,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.92 : 10,970.55 = 2,930.25 : x
  2. Step 2: Convert to fraction form
    7,309.92/10,970.55 = 2,930.25/x
  3. Step 3: Cross multiply
    7,309.92x = 10,970.55 × 2,930.25
  4. Step 4: Simplify right side
    7,309.92x = 32,146,454.14
  5. Step 5: Solve for x
    x = 32,146,454.14/7,309.92
  6. Step 6: Final answer
    x = 4,397.65

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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.