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Finding the Fourth Proportional to 5,153.68, 7,102.38 and 4,734.64

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Solution

The fourth proportional to 5,153.68, 7,102.38 and 4,734.64 is: 6,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.68 : 7,102.38 = 4,734.64 : x
  2. Step 2: Convert to fraction form
    5,153.68/7,102.38 = 4,734.64/x
  3. Step 3: Cross multiply
    5,153.68x = 7,102.38 × 4,734.64
  4. Step 4: Simplify right side
    5,153.68x = 33,627,212.44
  5. Step 5: Solve for x
    x = 33,627,212.44/5,153.68
  6. Step 6: Final answer
    x = 6,524.89

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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.