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Finding the Fourth Proportional to 9,838.92, 14,758.38 and 3,599.76

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Solution

The fourth proportional to 9,838.92, 14,758.38 and 3,599.76 is: 5,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.92 : 14,758.38 = 3,599.76 : x
  2. Step 2: Convert to fraction form
    9,838.92/14,758.38 = 3,599.76/x
  3. Step 3: Cross multiply
    9,838.92x = 14,758.38 × 3,599.76
  4. Step 4: Simplify right side
    9,838.92x = 53,126,625.99
  5. Step 5: Solve for x
    x = 53,126,625.99/9,838.92
  6. Step 6: Final answer
    x = 5,399.64

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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.