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Finding the Fourth Proportional to 22,277.80, 33,416.70 and 9,965.80

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Solution

The fourth proportional to 22,277.80, 33,416.70 and 9,965.80 is: 14,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.80 : 33,416.70 = 9,965.80 : x
  2. Step 2: Convert to fraction form
    22,277.80/33,416.70 = 9,965.80/x
  3. Step 3: Cross multiply
    22,277.80x = 33,416.70 × 9,965.80
  4. Step 4: Simplify right side
    22,277.80x = 333,024,148.86
  5. Step 5: Solve for x
    x = 333,024,148.86/22,277.80
  6. Step 6: Final answer
    x = 14,948.70

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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.