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Finding the Fourth Proportional to 4,964.12, 7,408.47 and 4,763.19

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Solution

The fourth proportional to 4,964.12, 7,408.47 and 4,763.19 is: 7,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.12 : 7,408.47 = 4,763.19 : x
  2. Step 2: Convert to fraction form
    4,964.12/7,408.47 = 4,763.19/x
  3. Step 3: Cross multiply
    4,964.12x = 7,408.47 × 4,763.19
  4. Step 4: Simplify right side
    4,964.12x = 35,287,950.22
  5. Step 5: Solve for x
    x = 35,287,950.22/4,964.12
  6. Step 6: Final answer
    x = 7,108.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.