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Finding the Fourth Proportional to 11,522.52, 15,889.95 and 6,984.18

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Solution

The fourth proportional to 11,522.52, 15,889.95 and 6,984.18 is: 9,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.52 : 15,889.95 = 6,984.18 : x
  2. Step 2: Convert to fraction form
    11,522.52/15,889.95 = 6,984.18/x
  3. Step 3: Cross multiply
    11,522.52x = 15,889.95 × 6,984.18
  4. Step 4: Simplify right side
    11,522.52x = 110,978,270.99
  5. Step 5: Solve for x
    x = 110,978,270.99/11,522.52
  6. Step 6: Final answer
    x = 9,631.42

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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.