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Finding the Fourth Proportional to 9,564.75, 13,199.49 and 5,838.75

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Solution

The fourth proportional to 9,564.75, 13,199.49 and 5,838.75 is: 8,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.75 : 13,199.49 = 5,838.75 : x
  2. Step 2: Convert to fraction form
    9,564.75/13,199.49 = 5,838.75/x
  3. Step 3: Cross multiply
    9,564.75x = 13,199.49 × 5,838.75
  4. Step 4: Simplify right side
    9,564.75x = 77,068,522.24
  5. Step 5: Solve for x
    x = 77,068,522.24/9,564.75
  6. Step 6: Final answer
    x = 8,057.56

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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.