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Finding the Fourth Proportional to 21,980.82, 32,964.27 and 7,186.32

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Solution

The fourth proportional to 21,980.82, 32,964.27 and 7,186.32 is: 10,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.82 : 32,964.27 = 7,186.32 : x
  2. Step 2: Convert to fraction form
    21,980.82/32,964.27 = 7,186.32/x
  3. Step 3: Cross multiply
    21,980.82x = 32,964.27 × 7,186.32
  4. Step 4: Simplify right side
    21,980.82x = 236,891,792.79
  5. Step 5: Solve for x
    x = 236,891,792.79/21,980.82
  6. Step 6: Final answer
    x = 10,777.20

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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.