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Finding the Fourth Proportional to 12,471.48, 17,210.74 and 6,806.27

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Solution

The fourth proportional to 12,471.48, 17,210.74 and 6,806.27 is: 9,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.48 : 17,210.74 = 6,806.27 : x
  2. Step 2: Convert to fraction form
    12,471.48/17,210.74 = 6,806.27/x
  3. Step 3: Cross multiply
    12,471.48x = 17,210.74 × 6,806.27
  4. Step 4: Simplify right side
    12,471.48x = 117,140,943.34
  5. Step 5: Solve for x
    x = 117,140,943.34/12,471.48
  6. Step 6: Final answer
    x = 9,392.71

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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.