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Finding the Fourth Proportional to 8,922.25, 13,385.66 and 7,343.46

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Solution

The fourth proportional to 8,922.25, 13,385.66 and 7,343.46 is: 11,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.25 : 13,385.66 = 7,343.46 : x
  2. Step 2: Convert to fraction form
    8,922.25/13,385.66 = 7,343.46/x
  3. Step 3: Cross multiply
    8,922.25x = 13,385.66 × 7,343.46
  4. Step 4: Simplify right side
    8,922.25x = 98,297,022.07
  5. Step 5: Solve for x
    x = 98,297,022.07/8,922.25
  6. Step 6: Final answer
    x = 11,017.07

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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.