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Finding the Fourth Proportional to 6,469.98, 8,931.95 and 4,356.63

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Solution

The fourth proportional to 6,469.98, 8,931.95 and 4,356.63 is: 6,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.98 : 8,931.95 = 4,356.63 : x
  2. Step 2: Convert to fraction form
    6,469.98/8,931.95 = 4,356.63/x
  3. Step 3: Cross multiply
    6,469.98x = 8,931.95 × 4,356.63
  4. Step 4: Simplify right side
    6,469.98x = 38,913,179.55
  5. Step 5: Solve for x
    x = 38,913,179.55/6,469.98
  6. Step 6: Final answer
    x = 6,014.42

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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.