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Finding the Fourth Proportional to 8,569, 11,824.74 and 6,214.12

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Solution

The fourth proportional to 8,569, 11,824.74 and 6,214.12 is: 8,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569 : 11,824.74 = 6,214.12 : x
  2. Step 2: Convert to fraction form
    8,569/11,824.74 = 6,214.12/x
  3. Step 3: Cross multiply
    8,569x = 11,824.74 × 6,214.12
  4. Step 4: Simplify right side
    8,569x = 73,480,353.33
  5. Step 5: Solve for x
    x = 73,480,353.33/8,569
  6. Step 6: Final answer
    x = 8,575.14

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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.