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Finding the Fourth Proportional to 6,925.76, 10,388.72 and 1,731.68

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Solution

The fourth proportional to 6,925.76, 10,388.72 and 1,731.68 is: 2,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.76 : 10,388.72 = 1,731.68 : x
  2. Step 2: Convert to fraction form
    6,925.76/10,388.72 = 1,731.68/x
  3. Step 3: Cross multiply
    6,925.76x = 10,388.72 × 1,731.68
  4. Step 4: Simplify right side
    6,925.76x = 17,989,938.65
  5. Step 5: Solve for x
    x = 17,989,938.65/6,925.76
  6. Step 6: Final answer
    x = 2,597.54

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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.