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Finding the Fourth Proportional to 8,463.63, 11,679.78 and 4,737.63

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Solution

The fourth proportional to 8,463.63, 11,679.78 and 4,737.63 is: 6,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.63 : 11,679.78 = 4,737.63 : x
  2. Step 2: Convert to fraction form
    8,463.63/11,679.78 = 4,737.63/x
  3. Step 3: Cross multiply
    8,463.63x = 11,679.78 × 4,737.63
  4. Step 4: Simplify right side
    8,463.63x = 55,334,423.23
  5. Step 5: Solve for x
    x = 55,334,423.23/8,463.63
  6. Step 6: Final answer
    x = 6,537.91

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1.5x scale

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.