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Finding the Fourth Proportional to 7,162.68, 9,884.96 and 4,768.56

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Solution

The fourth proportional to 7,162.68, 9,884.96 and 4,768.56 is: 6,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.68 : 9,884.96 = 4,768.56 : x
  2. Step 2: Convert to fraction form
    7,162.68/9,884.96 = 4,768.56/x
  3. Step 3: Cross multiply
    7,162.68x = 9,884.96 × 4,768.56
  4. Step 4: Simplify right side
    7,162.68x = 47,137,024.86
  5. Step 5: Solve for x
    x = 47,137,024.86/7,162.68
  6. Step 6: Final answer
    x = 6,580.92

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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.