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Finding the Fourth Proportional to 14,623.40, 21,909.90 and 6,816.20

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Solution

The fourth proportional to 14,623.40, 21,909.90 and 6,816.20 is: 10,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,623.40 : 21,909.90 = 6,816.20 : x
  2. Step 2: Convert to fraction form
    14,623.40/21,909.90 = 6,816.20/x
  3. Step 3: Cross multiply
    14,623.40x = 21,909.90 × 6,816.20
  4. Step 4: Simplify right side
    14,623.40x = 149,342,260.38
  5. Step 5: Solve for x
    x = 149,342,260.38/14,623.40
  6. Step 6: Final answer
    x = 10,212.55

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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.