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Finding the Fourth Proportional to 14,708.00, 20,297.57 and 7,994.14

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Solution

The fourth proportional to 14,708.00, 20,297.57 and 7,994.14 is: 11,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.00 : 20,297.57 = 7,994.14 : x
  2. Step 2: Convert to fraction form
    14,708.00/20,297.57 = 7,994.14/x
  3. Step 3: Cross multiply
    14,708.00x = 20,297.57 × 7,994.14
  4. Step 4: Simplify right side
    14,708.00x = 162,261,525.53
  5. Step 5: Solve for x
    x = 162,261,525.53/14,708.00
  6. Step 6: Final answer
    x = 11,032.19

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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.