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Finding the Fourth Proportional to 7,151.94, 9,869.68 and 4,009.14

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Solution

The fourth proportional to 7,151.94, 9,869.68 and 4,009.14 is: 5,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.94 : 9,869.68 = 4,009.14 : x
  2. Step 2: Convert to fraction form
    7,151.94/9,869.68 = 4,009.14/x
  3. Step 3: Cross multiply
    7,151.94x = 9,869.68 × 4,009.14
  4. Step 4: Simplify right side
    7,151.94x = 39,568,908.83
  5. Step 5: Solve for x
    x = 39,568,908.83/7,151.94
  6. Step 6: Final answer
    x = 5,532.61

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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.