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Finding the Fourth Proportional to 14,233.44, 19,649.34 and 9,759

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Solution

The fourth proportional to 14,233.44, 19,649.34 and 9,759 is: 13,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.44 : 19,649.34 = 9,759 : x
  2. Step 2: Convert to fraction form
    14,233.44/19,649.34 = 9,759/x
  3. Step 3: Cross multiply
    14,233.44x = 19,649.34 × 9,759
  4. Step 4: Simplify right side
    14,233.44x = 191,757,909.06
  5. Step 5: Solve for x
    x = 191,757,909.06/14,233.44
  6. Step 6: Final answer
    x = 13,472.35

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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.