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Finding the Fourth Proportional to 10,951.74, 15,107.72 and 6,965.93

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Solution

The fourth proportional to 10,951.74, 15,107.72 and 6,965.93 is: 9,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.74 : 15,107.72 = 6,965.93 : x
  2. Step 2: Convert to fraction form
    10,951.74/15,107.72 = 6,965.93/x
  3. Step 3: Cross multiply
    10,951.74x = 15,107.72 × 6,965.93
  4. Step 4: Simplify right side
    10,951.74x = 105,239,322.92
  5. Step 5: Solve for x
    x = 105,239,322.92/10,951.74
  6. Step 6: Final answer
    x = 9,609.37

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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.