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Finding the Fourth Proportional to 7,314.09, 10,974.78 and 4,026.30

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Solution

The fourth proportional to 7,314.09, 10,974.78 and 4,026.30 is: 6,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.09 : 10,974.78 = 4,026.30 : x
  2. Step 2: Convert to fraction form
    7,314.09/10,974.78 = 4,026.30/x
  3. Step 3: Cross multiply
    7,314.09x = 10,974.78 × 4,026.30
  4. Step 4: Simplify right side
    7,314.09x = 44,187,756.71
  5. Step 5: Solve for x
    x = 44,187,756.71/7,314.09
  6. Step 6: Final answer
    x = 6,041.46

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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.