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Finding the Fourth Proportional to 15,970.70, 23,947.40 and 7,195.34

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Solution

The fourth proportional to 15,970.70, 23,947.40 and 7,195.34 is: 10,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.70 : 23,947.40 = 7,195.34 : x
  2. Step 2: Convert to fraction form
    15,970.70/23,947.40 = 7,195.34/x
  3. Step 3: Cross multiply
    15,970.70x = 23,947.40 × 7,195.34
  4. Step 4: Simplify right side
    15,970.70x = 172,309,685.12
  5. Step 5: Solve for x
    x = 172,309,685.12/15,970.70
  6. Step 6: Final answer
    x = 10,789.11

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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.