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Finding the Fourth Proportional to 11,471.63, 17,210.27 and 3,680.44

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Solution

The fourth proportional to 11,471.63, 17,210.27 and 3,680.44 is: 5,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.63 : 17,210.27 = 3,680.44 : x
  2. Step 2: Convert to fraction form
    11,471.63/17,210.27 = 3,680.44/x
  3. Step 3: Cross multiply
    11,471.63x = 17,210.27 × 3,680.44
  4. Step 4: Simplify right side
    11,471.63x = 63,341,332.29
  5. Step 5: Solve for x
    x = 63,341,332.29/11,471.63
  6. Step 6: Final answer
    x = 5,521.57

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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.