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Finding the Fourth Proportional to 8,361.03, 11,531.57 and 7,106.24

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Solution

The fourth proportional to 8,361.03, 11,531.57 and 7,106.24 is: 9,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.03 : 11,531.57 = 7,106.24 : x
  2. Step 2: Convert to fraction form
    8,361.03/11,531.57 = 7,106.24/x
  3. Step 3: Cross multiply
    8,361.03x = 11,531.57 × 7,106.24
  4. Step 4: Simplify right side
    8,361.03x = 81,946,097.29
  5. Step 5: Solve for x
    x = 81,946,097.29/8,361.03
  6. Step 6: Final answer
    x = 9,800.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.