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Finding the Fourth Proportional to 9,407.50, 12,982.80 and 5,215.75

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Solution

The fourth proportional to 9,407.50, 12,982.80 and 5,215.75 is: 7,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.50 : 12,982.80 = 5,215.75 : x
  2. Step 2: Convert to fraction form
    9,407.50/12,982.80 = 5,215.75/x
  3. Step 3: Cross multiply
    9,407.50x = 12,982.80 × 5,215.75
  4. Step 4: Simplify right side
    9,407.50x = 67,715,039.10
  5. Step 5: Solve for x
    x = 67,715,039.10/9,407.50
  6. Step 6: Final answer
    x = 7,197.98

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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.