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Finding the Fourth Proportional to 8,823.45, 12,177 and 5,834.10

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Solution

The fourth proportional to 8,823.45, 12,177 and 5,834.10 is: 8,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.45 : 12,177 = 5,834.10 : x
  2. Step 2: Convert to fraction form
    8,823.45/12,177 = 5,834.10/x
  3. Step 3: Cross multiply
    8,823.45x = 12,177 × 5,834.10
  4. Step 4: Simplify right side
    8,823.45x = 71,041,835.70
  5. Step 5: Solve for x
    x = 71,041,835.70/8,823.45
  6. Step 6: Final answer
    x = 8,051.48

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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.