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Finding the Fourth Proportional to 10,441.94, 15,628.10 and 8,352.14

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Solution

The fourth proportional to 10,441.94, 15,628.10 and 8,352.14 is: 12,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.94 : 15,628.10 = 8,352.14 : x
  2. Step 2: Convert to fraction form
    10,441.94/15,628.10 = 8,352.14/x
  3. Step 3: Cross multiply
    10,441.94x = 15,628.10 × 8,352.14
  4. Step 4: Simplify right side
    10,441.94x = 130,527,959.23
  5. Step 5: Solve for x
    x = 130,527,959.23/10,441.94
  6. Step 6: Final answer
    x = 12,500.36

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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.