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Finding the Fourth Proportional to 6,462.45, 9,698.54 and 4,377.51

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Solution

The fourth proportional to 6,462.45, 9,698.54 and 4,377.51 is: 6,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.45 : 9,698.54 = 4,377.51 : x
  2. Step 2: Convert to fraction form
    6,462.45/9,698.54 = 4,377.51/x
  3. Step 3: Cross multiply
    6,462.45x = 9,698.54 × 4,377.51
  4. Step 4: Simplify right side
    6,462.45x = 42,455,433.95
  5. Step 5: Solve for x
    x = 42,455,433.95/6,462.45
  6. Step 6: Final answer
    x = 6,569.56

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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.