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Finding the Fourth Proportional to 9,400.88, 14,106.36 and 7,213.52

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Solution

The fourth proportional to 9,400.88, 14,106.36 and 7,213.52 is: 10,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.88 : 14,106.36 = 7,213.52 : x
  2. Step 2: Convert to fraction form
    9,400.88/14,106.36 = 7,213.52/x
  3. Step 3: Cross multiply
    9,400.88x = 14,106.36 × 7,213.52
  4. Step 4: Simplify right side
    9,400.88x = 101,756,509.99
  5. Step 5: Solve for x
    x = 101,756,509.99/9,400.88
  6. Step 6: Final answer
    x = 10,824.15

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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.