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Finding the Fourth Proportional to 14,809.12, 22,222.74 and 7,794.16

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Solution

The fourth proportional to 14,809.12, 22,222.74 and 7,794.16 is: 11,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.12 : 22,222.74 = 7,794.16 : x
  2. Step 2: Convert to fraction form
    14,809.12/22,222.74 = 7,794.16/x
  3. Step 3: Cross multiply
    14,809.12x = 22,222.74 × 7,794.16
  4. Step 4: Simplify right side
    14,809.12x = 173,207,591.20
  5. Step 5: Solve for x
    x = 173,207,591.20/14,809.12
  6. Step 6: Final answer
    x = 11,696.01

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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.