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Finding the Fourth Proportional to 7,883.76, 11,799.72 and 7,019.76

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Solution

The fourth proportional to 7,883.76, 11,799.72 and 7,019.76 is: 10,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.76 : 11,799.72 = 7,019.76 : x
  2. Step 2: Convert to fraction form
    7,883.76/11,799.72 = 7,019.76/x
  3. Step 3: Cross multiply
    7,883.76x = 11,799.72 × 7,019.76
  4. Step 4: Simplify right side
    7,883.76x = 82,831,202.47
  5. Step 5: Solve for x
    x = 82,831,202.47/7,883.76
  6. Step 6: Final answer
    x = 10,506.56

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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.