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Finding the Fourth Proportional to 22,292.60, 33,434.10 and 9,812.60

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Solution

The fourth proportional to 22,292.60, 33,434.10 and 9,812.60 is: 14,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.60 : 33,434.10 = 9,812.60 : x
  2. Step 2: Convert to fraction form
    22,292.60/33,434.10 = 9,812.60/x
  3. Step 3: Cross multiply
    22,292.60x = 33,434.10 × 9,812.60
  4. Step 4: Simplify right side
    22,292.60x = 328,075,449.66
  5. Step 5: Solve for x
    x = 328,075,449.66/22,292.60
  6. Step 6: Final answer
    x = 14,716.79

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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.