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Finding the Fourth Proportional to 7,215.54, 10,822.70 and 2,284.46

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Solution

The fourth proportional to 7,215.54, 10,822.70 and 2,284.46 is: 3,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.54 : 10,822.70 = 2,284.46 : x
  2. Step 2: Convert to fraction form
    7,215.54/10,822.70 = 2,284.46/x
  3. Step 3: Cross multiply
    7,215.54x = 10,822.70 × 2,284.46
  4. Step 4: Simplify right side
    7,215.54x = 24,724,025.24
  5. Step 5: Solve for x
    x = 24,724,025.24/7,215.54
  6. Step 6: Final answer
    x = 3,426.50

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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.