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Finding the Fourth Proportional to 7,863.54, 10,857.24 and 5,216.46

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Solution

The fourth proportional to 7,863.54, 10,857.24 and 5,216.46 is: 7,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.54 : 10,857.24 = 5,216.46 : x
  2. Step 2: Convert to fraction form
    7,863.54/10,857.24 = 5,216.46/x
  3. Step 3: Cross multiply
    7,863.54x = 10,857.24 × 5,216.46
  4. Step 4: Simplify right side
    7,863.54x = 56,636,358.17
  5. Step 5: Solve for x
    x = 56,636,358.17/7,863.54
  6. Step 6: Final answer
    x = 7,202.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.