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Finding the Fourth Proportional to 14,708.16, 20,297.16 and 7,993.62

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Solution

The fourth proportional to 14,708.16, 20,297.16 and 7,993.62 is: 11,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.16 : 20,297.16 = 7,993.62 : x
  2. Step 2: Convert to fraction form
    14,708.16/20,297.16 = 7,993.62/x
  3. Step 3: Cross multiply
    14,708.16x = 20,297.16 × 7,993.62
  4. Step 4: Simplify right side
    14,708.16x = 162,247,784.12
  5. Step 5: Solve for x
    x = 162,247,784.12/14,708.16
  6. Step 6: Final answer
    x = 11,031.14

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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.