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Finding the Fourth Proportional to 10,604.60, 14,633.06 and 6,297.02

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Solution

The fourth proportional to 10,604.60, 14,633.06 and 6,297.02 is: 8,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.60 : 14,633.06 = 6,297.02 : x
  2. Step 2: Convert to fraction form
    10,604.60/14,633.06 = 6,297.02/x
  3. Step 3: Cross multiply
    10,604.60x = 14,633.06 × 6,297.02
  4. Step 4: Simplify right side
    10,604.60x = 92,144,566.83
  5. Step 5: Solve for x
    x = 92,144,566.83/10,604.60
  6. Step 6: Final answer
    x = 8,689.12

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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.