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Finding the Fourth Proportional to 10,627.10, 15,911.85 and 8,323.10

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Solution

The fourth proportional to 10,627.10, 15,911.85 and 8,323.10 is: 12,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.10 : 15,911.85 = 8,323.10 : x
  2. Step 2: Convert to fraction form
    10,627.10/15,911.85 = 8,323.10/x
  3. Step 3: Cross multiply
    10,627.10x = 15,911.85 × 8,323.10
  4. Step 4: Simplify right side
    10,627.10x = 132,435,918.74
  5. Step 5: Solve for x
    x = 132,435,918.74/10,627.10
  6. Step 6: Final answer
    x = 12,462.09

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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.