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Finding the Fourth Proportional to 8,013.84, 12,016.80 and 4,682.93

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Solution

The fourth proportional to 8,013.84, 12,016.80 and 4,682.93 is: 7,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.84 : 12,016.80 = 4,682.93 : x
  2. Step 2: Convert to fraction form
    8,013.84/12,016.80 = 4,682.93/x
  3. Step 3: Cross multiply
    8,013.84x = 12,016.80 × 4,682.93
  4. Step 4: Simplify right side
    8,013.84x = 56,273,773.14
  5. Step 5: Solve for x
    x = 56,273,773.14/8,013.84
  6. Step 6: Final answer
    x = 7,022.07

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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.