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Finding the Fourth Proportional to 8,463.88, 12,698.70 and 4,357

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Solution

The fourth proportional to 8,463.88, 12,698.70 and 4,357 is: 6,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.88 : 12,698.70 = 4,357 : x
  2. Step 2: Convert to fraction form
    8,463.88/12,698.70 = 4,357/x
  3. Step 3: Cross multiply
    8,463.88x = 12,698.70 × 4,357
  4. Step 4: Simplify right side
    8,463.88x = 55,328,235.90
  5. Step 5: Solve for x
    x = 55,328,235.90/8,463.88
  6. Step 6: Final answer
    x = 6,536.98

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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.