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Finding the Fourth Proportional to 10,769.76, 14,854.32 and 8,117.28

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Solution

The fourth proportional to 10,769.76, 14,854.32 and 8,117.28 is: 11,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.76 : 14,854.32 = 8,117.28 : x
  2. Step 2: Convert to fraction form
    10,769.76/14,854.32 = 8,117.28/x
  3. Step 3: Cross multiply
    10,769.76x = 14,854.32 × 8,117.28
  4. Step 4: Simplify right side
    10,769.76x = 120,576,674.65
  5. Step 5: Solve for x
    x = 120,576,674.65/10,769.76
  6. Step 6: Final answer
    x = 11,195.86

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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.