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Finding the Fourth Proportional to 7,062.92, 9,744.30 and 4,408.16

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Solution

The fourth proportional to 7,062.92, 9,744.30 and 4,408.16 is: 6,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.92 : 9,744.30 = 4,408.16 : x
  2. Step 2: Convert to fraction form
    7,062.92/9,744.30 = 4,408.16/x
  3. Step 3: Cross multiply
    7,062.92x = 9,744.30 × 4,408.16
  4. Step 4: Simplify right side
    7,062.92x = 42,954,433.49
  5. Step 5: Solve for x
    x = 42,954,433.49/7,062.92
  6. Step 6: Final answer
    x = 6,081.68

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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.