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Finding the Fourth Proportional to 8,024.34, 12,016.88 and 4,905.66

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Solution

The fourth proportional to 8,024.34, 12,016.88 and 4,905.66 is: 7,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.34 : 12,016.88 = 4,905.66 : x
  2. Step 2: Convert to fraction form
    8,024.34/12,016.88 = 4,905.66/x
  3. Step 3: Cross multiply
    8,024.34x = 12,016.88 × 4,905.66
  4. Step 4: Simplify right side
    8,024.34x = 58,950,727.54
  5. Step 5: Solve for x
    x = 58,950,727.54/8,024.34
  6. Step 6: Final answer
    x = 7,346.49

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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.