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Finding the Fourth Proportional to 8,143.61, 12,215.41 and 5,223.96

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Solution

The fourth proportional to 8,143.61, 12,215.41 and 5,223.96 is: 7,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.61 : 12,215.41 = 5,223.96 : x
  2. Step 2: Convert to fraction form
    8,143.61/12,215.41 = 5,223.96/x
  3. Step 3: Cross multiply
    8,143.61x = 12,215.41 × 5,223.96
  4. Step 4: Simplify right side
    8,143.61x = 63,812,800.16
  5. Step 5: Solve for x
    x = 63,812,800.16/8,143.61
  6. Step 6: Final answer
    x = 7,835.94

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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.