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Finding the Fourth Proportional to 5,902.66, 8,832.15 and 5,196.53

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Solution

The fourth proportional to 5,902.66, 8,832.15 and 5,196.53 is: 7,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.66 : 8,832.15 = 5,196.53 : x
  2. Step 2: Convert to fraction form
    5,902.66/8,832.15 = 5,196.53/x
  3. Step 3: Cross multiply
    5,902.66x = 8,832.15 × 5,196.53
  4. Step 4: Simplify right side
    5,902.66x = 45,896,532.44
  5. Step 5: Solve for x
    x = 45,896,532.44/5,902.66
  6. Step 6: Final answer
    x = 7,775.57

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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.