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Finding the Fourth Proportional to 6,814.16, 10,222.08 and 2,432.08

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Solution

The fourth proportional to 6,814.16, 10,222.08 and 2,432.08 is: 3,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.16 : 10,222.08 = 2,432.08 : x
  2. Step 2: Convert to fraction form
    6,814.16/10,222.08 = 2,432.08/x
  3. Step 3: Cross multiply
    6,814.16x = 10,222.08 × 2,432.08
  4. Step 4: Simplify right side
    6,814.16x = 24,860,916.33
  5. Step 5: Solve for x
    x = 24,860,916.33/6,814.16
  6. Step 6: Final answer
    x = 3,648.42

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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.