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Finding the Fourth Proportional to 12,471.53, 17,210.08 and 6,806.23

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Solution

The fourth proportional to 12,471.53, 17,210.08 and 6,806.23 is: 9,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.53 : 17,210.08 = 6,806.23 : x
  2. Step 2: Convert to fraction form
    12,471.53/17,210.08 = 6,806.23/x
  3. Step 3: Cross multiply
    12,471.53x = 17,210.08 × 6,806.23
  4. Step 4: Simplify right side
    12,471.53x = 117,135,780.06
  5. Step 5: Solve for x
    x = 117,135,780.06/12,471.53
  6. Step 6: Final answer
    x = 9,392.25

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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.