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Finding the Fourth Proportional to 13,011.13, 17,957.79 and 7,422.13

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Solution

The fourth proportional to 13,011.13, 17,957.79 and 7,422.13 is: 10,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.13 : 17,957.79 = 7,422.13 : x
  2. Step 2: Convert to fraction form
    13,011.13/17,957.79 = 7,422.13/x
  3. Step 3: Cross multiply
    13,011.13x = 17,957.79 × 7,422.13
  4. Step 4: Simplify right side
    13,011.13x = 133,284,924.99
  5. Step 5: Solve for x
    x = 133,284,924.99/13,011.13
  6. Step 6: Final answer
    x = 10,243.92

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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.