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Finding the Fourth Proportional to 12,243.22, 16,896 and 6,937.86

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Solution

The fourth proportional to 12,243.22, 16,896 and 6,937.86 is: 9,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.22 : 16,896 = 6,937.86 : x
  2. Step 2: Convert to fraction form
    12,243.22/16,896 = 6,937.86/x
  3. Step 3: Cross multiply
    12,243.22x = 16,896 × 6,937.86
  4. Step 4: Simplify right side
    12,243.22x = 117,222,082.56
  5. Step 5: Solve for x
    x = 117,222,082.56/12,243.22
  6. Step 6: Final answer
    x = 9,574.45

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1.5x scale

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.