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Finding the Fourth Proportional to 14,913.60, 22,344.80 and 9,716.80

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Solution

The fourth proportional to 14,913.60, 22,344.80 and 9,716.80 is: 14,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.60 : 22,344.80 = 9,716.80 : x
  2. Step 2: Convert to fraction form
    14,913.60/22,344.80 = 9,716.80/x
  3. Step 3: Cross multiply
    14,913.60x = 22,344.80 × 9,716.80
  4. Step 4: Simplify right side
    14,913.60x = 217,119,952.64
  5. Step 5: Solve for x
    x = 217,119,952.64/14,913.60
  6. Step 6: Final answer
    x = 14,558.52

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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.