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Finding the Fourth Proportional to 8,381.34, 12,568.14 and 7,724.70

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Solution

The fourth proportional to 8,381.34, 12,568.14 and 7,724.70 is: 11,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.34 : 12,568.14 = 7,724.70 : x
  2. Step 2: Convert to fraction form
    8,381.34/12,568.14 = 7,724.70/x
  3. Step 3: Cross multiply
    8,381.34x = 12,568.14 × 7,724.70
  4. Step 4: Simplify right side
    8,381.34x = 97,085,111.06
  5. Step 5: Solve for x
    x = 97,085,111.06/8,381.34
  6. Step 6: Final answer
    x = 11,583.48

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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.