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Finding the Fourth Proportional to 23,842.81, 35,764.22 and 6,314.01

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Solution

The fourth proportional to 23,842.81, 35,764.22 and 6,314.01 is: 9,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.81 : 35,764.22 = 6,314.01 : x
  2. Step 2: Convert to fraction form
    23,842.81/35,764.22 = 6,314.01/x
  3. Step 3: Cross multiply
    23,842.81x = 35,764.22 × 6,314.01
  4. Step 4: Simplify right side
    23,842.81x = 225,815,642.72
  5. Step 5: Solve for x
    x = 225,815,642.72/23,842.81
  6. Step 6: Final answer
    x = 9,471.02

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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.