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Finding the Fourth Proportional to 14,911.76, 22,367.64 and 6,694.16

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Solution

The fourth proportional to 14,911.76, 22,367.64 and 6,694.16 is: 10,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.76 : 22,367.64 = 6,694.16 : x
  2. Step 2: Convert to fraction form
    14,911.76/22,367.64 = 6,694.16/x
  3. Step 3: Cross multiply
    14,911.76x = 22,367.64 × 6,694.16
  4. Step 4: Simplify right side
    14,911.76x = 149,732,560.98
  5. Step 5: Solve for x
    x = 149,732,560.98/14,911.76
  6. Step 6: Final answer
    x = 10,041.24

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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.