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Finding the Fourth Proportional to 11,369, 15,689.22 and 7,180.76

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Solution

The fourth proportional to 11,369, 15,689.22 and 7,180.76 is: 9,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369 : 15,689.22 = 7,180.76 : x
  2. Step 2: Convert to fraction form
    11,369/15,689.22 = 7,180.76/x
  3. Step 3: Cross multiply
    11,369x = 15,689.22 × 7,180.76
  4. Step 4: Simplify right side
    11,369x = 112,660,523.41
  5. Step 5: Solve for x
    x = 112,660,523.41/11,369
  6. Step 6: Final answer
    x = 9,909.45

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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.