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Finding the Fourth Proportional to 4,648.67, 6,415.22 and 2,524.22

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Solution

The fourth proportional to 4,648.67, 6,415.22 and 2,524.22 is: 3,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.67 : 6,415.22 = 2,524.22 : x
  2. Step 2: Convert to fraction form
    4,648.67/6,415.22 = 2,524.22/x
  3. Step 3: Cross multiply
    4,648.67x = 6,415.22 × 2,524.22
  4. Step 4: Simplify right side
    4,648.67x = 16,193,381.93
  5. Step 5: Solve for x
    x = 16,193,381.93/4,648.67
  6. Step 6: Final answer
    x = 3,483.45

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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.