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Finding the Fourth Proportional to 11,756.14, 17,616.49 and 7,071.03

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Solution

The fourth proportional to 11,756.14, 17,616.49 and 7,071.03 is: 10,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.14 : 17,616.49 = 7,071.03 : x
  2. Step 2: Convert to fraction form
    11,756.14/17,616.49 = 7,071.03/x
  3. Step 3: Cross multiply
    11,756.14x = 17,616.49 × 7,071.03
  4. Step 4: Simplify right side
    11,756.14x = 124,566,711.61
  5. Step 5: Solve for x
    x = 124,566,711.61/11,756.14
  6. Step 6: Final answer
    x = 10,595.89

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1.5x scale

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.