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Finding the Fourth Proportional to 17,646, 26,471.40 and 6,551.76

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Solution

The fourth proportional to 17,646, 26,471.40 and 6,551.76 is: 9,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 26,471.40 = 6,551.76 : x
  2. Step 2: Convert to fraction form
    17,646/26,471.40 = 6,551.76/x
  3. Step 3: Cross multiply
    17,646x = 26,471.40 × 6,551.76
  4. Step 4: Simplify right side
    17,646x = 173,434,259.66
  5. Step 5: Solve for x
    x = 173,434,259.66/17,646
  6. Step 6: Final answer
    x = 9,828.53

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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.