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Finding the Fourth Proportional to 6,971.20, 10,456.80 and 5,300.80

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Solution

The fourth proportional to 6,971.20, 10,456.80 and 5,300.80 is: 7,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.20 : 10,456.80 = 5,300.80 : x
  2. Step 2: Convert to fraction form
    6,971.20/10,456.80 = 5,300.80/x
  3. Step 3: Cross multiply
    6,971.20x = 10,456.80 × 5,300.80
  4. Step 4: Simplify right side
    6,971.20x = 55,429,405.44
  5. Step 5: Solve for x
    x = 55,429,405.44/6,971.20
  6. Step 6: Final answer
    x = 7,951.20

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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.