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Finding the Fourth Proportional to 4,704.38, 6,500.12 and 4,536

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Solution

The fourth proportional to 4,704.38, 6,500.12 and 4,536 is: 6,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.38 : 6,500.12 = 4,536 : x
  2. Step 2: Convert to fraction form
    4,704.38/6,500.12 = 4,536/x
  3. Step 3: Cross multiply
    4,704.38x = 6,500.12 × 4,536
  4. Step 4: Simplify right side
    4,704.38x = 29,484,521.64
  5. Step 5: Solve for x
    x = 29,484,521.64/4,704.38
  6. Step 6: Final answer
    x = 6,267.46

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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.