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Finding the Fourth Proportional to 14,782.92, 20,400.84 and 8,068.98

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Solution

The fourth proportional to 14,782.92, 20,400.84 and 8,068.98 is: 11,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.92 : 20,400.84 = 8,068.98 : x
  2. Step 2: Convert to fraction form
    14,782.92/20,400.84 = 8,068.98/x
  3. Step 3: Cross multiply
    14,782.92x = 20,400.84 × 8,068.98
  4. Step 4: Simplify right side
    14,782.92x = 164,613,969.94
  5. Step 5: Solve for x
    x = 164,613,969.94/14,782.92
  6. Step 6: Final answer
    x = 11,135.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.