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Finding the Fourth Proportional to 12,646.62, 18,973.98 and 6,073.29

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Solution

The fourth proportional to 12,646.62, 18,973.98 and 6,073.29 is: 9,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.62 : 18,973.98 = 6,073.29 : x
  2. Step 2: Convert to fraction form
    12,646.62/18,973.98 = 6,073.29/x
  3. Step 3: Cross multiply
    12,646.62x = 18,973.98 × 6,073.29
  4. Step 4: Simplify right side
    12,646.62x = 115,234,482.99
  5. Step 5: Solve for x
    x = 115,234,482.99/12,646.62
  6. Step 6: Final answer
    x = 9,111.88

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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.