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Finding the Fourth Proportional to 8,215.96, 12,323.96 and 3,537.40

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Solution

The fourth proportional to 8,215.96, 12,323.96 and 3,537.40 is: 5,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.96 : 12,323.96 = 3,537.40 : x
  2. Step 2: Convert to fraction form
    8,215.96/12,323.96 = 3,537.40/x
  3. Step 3: Cross multiply
    8,215.96x = 12,323.96 × 3,537.40
  4. Step 4: Simplify right side
    8,215.96x = 43,594,776.10
  5. Step 5: Solve for x
    x = 43,594,776.10/8,215.96
  6. Step 6: Final answer
    x = 5,306.11

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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.