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Finding the Fourth Proportional to 7,443.84, 11,167.68 and 5,256.84

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Solution

The fourth proportional to 7,443.84, 11,167.68 and 5,256.84 is: 7,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.84 : 11,167.68 = 5,256.84 : x
  2. Step 2: Convert to fraction form
    7,443.84/11,167.68 = 5,256.84/x
  3. Step 3: Cross multiply
    7,443.84x = 11,167.68 × 5,256.84
  4. Step 4: Simplify right side
    7,443.84x = 58,706,706.93
  5. Step 5: Solve for x
    x = 58,706,706.93/7,443.84
  6. Step 6: Final answer
    x = 7,886.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.