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Finding the Fourth Proportional to 6,484, 9,729.50 and 5,026

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Solution

The fourth proportional to 6,484, 9,729.50 and 5,026 is: 7,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484 : 9,729.50 = 5,026 : x
  2. Step 2: Convert to fraction form
    6,484/9,729.50 = 5,026/x
  3. Step 3: Cross multiply
    6,484x = 9,729.50 × 5,026
  4. Step 4: Simplify right side
    6,484x = 48,900,467
  5. Step 5: Solve for x
    x = 48,900,467/6,484
  6. Step 6: Final answer
    x = 7,541.71

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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.