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Finding the Fourth Proportional to 6,731.42, 10,097.94 and 6,362.78

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Solution

The fourth proportional to 6,731.42, 10,097.94 and 6,362.78 is: 9,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.42 : 10,097.94 = 6,362.78 : x
  2. Step 2: Convert to fraction form
    6,731.42/10,097.94 = 6,362.78/x
  3. Step 3: Cross multiply
    6,731.42x = 10,097.94 × 6,362.78
  4. Step 4: Simplify right side
    6,731.42x = 64,250,970.67
  5. Step 5: Solve for x
    x = 64,250,970.67/6,731.42
  6. Step 6: Final answer
    x = 9,544.94

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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.