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Finding the Fourth Proportional to 19,933, 27,509.16 and 11,551.12

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Solution

The fourth proportional to 19,933, 27,509.16 and 11,551.12 is: 15,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933 : 27,509.16 = 11,551.12 : x
  2. Step 2: Convert to fraction form
    19,933/27,509.16 = 11,551.12/x
  3. Step 3: Cross multiply
    19,933x = 27,509.16 × 11,551.12
  4. Step 4: Simplify right side
    19,933x = 317,761,608.26
  5. Step 5: Solve for x
    x = 317,761,608.26/19,933
  6. Step 6: Final answer
    x = 15,941.48

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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.