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Finding the Fourth Proportional to 7,614.78, 10,508.63 and 4,211.84

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Solution

The fourth proportional to 7,614.78, 10,508.63 and 4,211.84 is: 5,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.78 : 10,508.63 = 4,211.84 : x
  2. Step 2: Convert to fraction form
    7,614.78/10,508.63 = 4,211.84/x
  3. Step 3: Cross multiply
    7,614.78x = 10,508.63 × 4,211.84
  4. Step 4: Simplify right side
    7,614.78x = 44,260,594.58
  5. Step 5: Solve for x
    x = 44,260,594.58/7,614.78
  6. Step 6: Final answer
    x = 5,812.46

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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.