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Finding the Fourth Proportional to 14,502.84, 21,767.94 and 9,311.64

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Solution

The fourth proportional to 14,502.84, 21,767.94 and 9,311.64 is: 13,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.84 : 21,767.94 = 9,311.64 : x
  2. Step 2: Convert to fraction form
    14,502.84/21,767.94 = 9,311.64/x
  3. Step 3: Cross multiply
    14,502.84x = 21,767.94 × 9,311.64
  4. Step 4: Simplify right side
    14,502.84x = 202,695,220.82
  5. Step 5: Solve for x
    x = 202,695,220.82/14,502.84
  6. Step 6: Final answer
    x = 13,976.24

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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.