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Finding the Fourth Proportional to 11,954.16, 16,497.74 and 6,649.98

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Solution

The fourth proportional to 11,954.16, 16,497.74 and 6,649.98 is: 9,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.16 : 16,497.74 = 6,649.98 : x
  2. Step 2: Convert to fraction form
    11,954.16/16,497.74 = 6,649.98/x
  3. Step 3: Cross multiply
    11,954.16x = 16,497.74 × 6,649.98
  4. Step 4: Simplify right side
    11,954.16x = 109,709,641.05
  5. Step 5: Solve for x
    x = 109,709,641.05/11,954.16
  6. Step 6: Final answer
    x = 9,177.53

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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.