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Finding the Fourth Proportional to 15,097.19, 20,834.01 and 8,382.84

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Solution

The fourth proportional to 15,097.19, 20,834.01 and 8,382.84 is: 11,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.19 : 20,834.01 = 8,382.84 : x
  2. Step 2: Convert to fraction form
    15,097.19/20,834.01 = 8,382.84/x
  3. Step 3: Cross multiply
    15,097.19x = 20,834.01 × 8,382.84
  4. Step 4: Simplify right side
    15,097.19x = 174,648,211.45
  5. Step 5: Solve for x
    x = 174,648,211.45/15,097.19
  6. Step 6: Final answer
    x = 11,568.26

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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.