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Finding the Fourth Proportional to 7,408.92, 10,223.76 and 4,051

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Solution

The fourth proportional to 7,408.92, 10,223.76 and 4,051 is: 5,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.92 : 10,223.76 = 4,051 : x
  2. Step 2: Convert to fraction form
    7,408.92/10,223.76 = 4,051/x
  3. Step 3: Cross multiply
    7,408.92x = 10,223.76 × 4,051
  4. Step 4: Simplify right side
    7,408.92x = 41,416,451.76
  5. Step 5: Solve for x
    x = 41,416,451.76/7,408.92
  6. Step 6: Final answer
    x = 5,590.08

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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.