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Finding the Fourth Proportional to 6,965.80, 9,610.02 and 4,311.40

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Solution

The fourth proportional to 6,965.80, 9,610.02 and 4,311.40 is: 5,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.80 : 9,610.02 = 4,311.40 : x
  2. Step 2: Convert to fraction form
    6,965.80/9,610.02 = 4,311.40/x
  3. Step 3: Cross multiply
    6,965.80x = 9,610.02 × 4,311.40
  4. Step 4: Simplify right side
    6,965.80x = 41,432,640.23
  5. Step 5: Solve for x
    x = 41,432,640.23/6,965.80
  6. Step 6: Final answer
    x = 5,948.01

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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.