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Finding the Fourth Proportional to 12,242.16, 16,894.13 and 6,937.98

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Solution

The fourth proportional to 12,242.16, 16,894.13 and 6,937.98 is: 9,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.16 : 16,894.13 = 6,937.98 : x
  2. Step 2: Convert to fraction form
    12,242.16/16,894.13 = 6,937.98/x
  3. Step 3: Cross multiply
    12,242.16x = 16,894.13 × 6,937.98
  4. Step 4: Simplify right side
    12,242.16x = 117,211,136.06
  5. Step 5: Solve for x
    x = 117,211,136.06/12,242.16
  6. Step 6: Final answer
    x = 9,574.38

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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.