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Finding the Fourth Proportional to 19,573.04, 27,010.32 and 11,189

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Solution

The fourth proportional to 19,573.04, 27,010.32 and 11,189 is: 15,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,573.04 : 27,010.32 = 11,189 : x
  2. Step 2: Convert to fraction form
    19,573.04/27,010.32 = 11,189/x
  3. Step 3: Cross multiply
    19,573.04x = 27,010.32 × 11,189
  4. Step 4: Simplify right side
    19,573.04x = 302,218,470.48
  5. Step 5: Solve for x
    x = 302,218,470.48/19,573.04
  6. Step 6: Final answer
    x = 15,440.55

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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.