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Finding the Fourth Proportional to 9,591.15, 14,392.22 and 5,208.99

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Solution

The fourth proportional to 9,591.15, 14,392.22 and 5,208.99 is: 7,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.15 : 14,392.22 = 5,208.99 : x
  2. Step 2: Convert to fraction form
    9,591.15/14,392.22 = 5,208.99/x
  3. Step 3: Cross multiply
    9,591.15x = 14,392.22 × 5,208.99
  4. Step 4: Simplify right side
    9,591.15x = 74,968,904.01
  5. Step 5: Solve for x
    x = 74,968,904.01/9,591.15
  6. Step 6: Final answer
    x = 7,816.47

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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.