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Finding the Fourth Proportional to 14,680.47, 21,993 and 11,377.41

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Solution

The fourth proportional to 14,680.47, 21,993 and 11,377.41 is: 17,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.47 : 21,993 = 11,377.41 : x
  2. Step 2: Convert to fraction form
    14,680.47/21,993 = 11,377.41/x
  3. Step 3: Cross multiply
    14,680.47x = 21,993 × 11,377.41
  4. Step 4: Simplify right side
    14,680.47x = 250,223,378.13
  5. Step 5: Solve for x
    x = 250,223,378.13/14,680.47
  6. Step 6: Final answer
    x = 17,044.64

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1.5x scale

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.