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Finding the Fourth Proportional to 10,616.36, 14,637.02 and 6,636.02

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Solution

The fourth proportional to 10,616.36, 14,637.02 and 6,636.02 is: 9,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.36 : 14,637.02 = 6,636.02 : x
  2. Step 2: Convert to fraction form
    10,616.36/14,637.02 = 6,636.02/x
  3. Step 3: Cross multiply
    10,616.36x = 14,637.02 × 6,636.02
  4. Step 4: Simplify right side
    10,616.36x = 97,131,451.10
  5. Step 5: Solve for x
    x = 97,131,451.10/10,616.36
  6. Step 6: Final answer
    x = 9,149.23

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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.