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Finding the Fourth Proportional to 10,361.76, 14,297.16 and 7,170.08

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Solution

The fourth proportional to 10,361.76, 14,297.16 and 7,170.08 is: 9,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.76 : 14,297.16 = 7,170.08 : x
  2. Step 2: Convert to fraction form
    10,361.76/14,297.16 = 7,170.08/x
  3. Step 3: Cross multiply
    10,361.76x = 14,297.16 × 7,170.08
  4. Step 4: Simplify right side
    10,361.76x = 102,511,780.97
  5. Step 5: Solve for x
    x = 102,511,780.97/10,361.76
  6. Step 6: Final answer
    x = 9,893.28

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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.