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Finding the Fourth Proportional to 11,536.95, 17,294.49 and 10,509.74

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Solution

The fourth proportional to 11,536.95, 17,294.49 and 10,509.74 is: 15,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.95 : 17,294.49 = 10,509.74 : x
  2. Step 2: Convert to fraction form
    11,536.95/17,294.49 = 10,509.74/x
  3. Step 3: Cross multiply
    11,536.95x = 17,294.49 × 10,509.74
  4. Step 4: Simplify right side
    11,536.95x = 181,760,506.86
  5. Step 5: Solve for x
    x = 181,760,506.86/11,536.95
  6. Step 6: Final answer
    x = 15,754.64

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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.