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Finding the Fourth Proportional to 18,345.32, 27,527.14 and 7,822.20

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Solution

The fourth proportional to 18,345.32, 27,527.14 and 7,822.20 is: 11,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,345.32 : 27,527.14 = 7,822.20 : x
  2. Step 2: Convert to fraction form
    18,345.32/27,527.14 = 7,822.20/x
  3. Step 3: Cross multiply
    18,345.32x = 27,527.14 × 7,822.20
  4. Step 4: Simplify right side
    18,345.32x = 215,322,794.51
  5. Step 5: Solve for x
    x = 215,322,794.51/18,345.32
  6. Step 6: Final answer
    x = 11,737.21

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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.