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Finding the Fourth Proportional to 6,966.19, 9,614.19 and 4,314.43

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Solution

The fourth proportional to 6,966.19, 9,614.19 and 4,314.43 is: 5,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.19 : 9,614.19 = 4,314.43 : x
  2. Step 2: Convert to fraction form
    6,966.19/9,614.19 = 4,314.43/x
  3. Step 3: Cross multiply
    6,966.19x = 9,614.19 × 4,314.43
  4. Step 4: Simplify right side
    6,966.19x = 41,479,749.76
  5. Step 5: Solve for x
    x = 41,479,749.76/6,966.19
  6. Step 6: Final answer
    x = 5,954.44

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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.