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Finding the Fourth Proportional to 14,523.84, 21,790.08 and 6,739.20

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Solution

The fourth proportional to 14,523.84, 21,790.08 and 6,739.20 is: 10,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.84 : 21,790.08 = 6,739.20 : x
  2. Step 2: Convert to fraction form
    14,523.84/21,790.08 = 6,739.20/x
  3. Step 3: Cross multiply
    14,523.84x = 21,790.08 × 6,739.20
  4. Step 4: Simplify right side
    14,523.84x = 146,847,707.14
  5. Step 5: Solve for x
    x = 146,847,707.14/14,523.84
  6. Step 6: Final answer
    x = 10,110.80

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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.