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Finding the Fourth Proportional to 15,832.86, 23,742.81 and 7,061.79

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Solution

The fourth proportional to 15,832.86, 23,742.81 and 7,061.79 is: 10,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.86 : 23,742.81 = 7,061.79 : x
  2. Step 2: Convert to fraction form
    15,832.86/23,742.81 = 7,061.79/x
  3. Step 3: Cross multiply
    15,832.86x = 23,742.81 × 7,061.79
  4. Step 4: Simplify right side
    15,832.86x = 167,666,738.23
  5. Step 5: Solve for x
    x = 167,666,738.23/15,832.86
  6. Step 6: Final answer
    x = 10,589.79

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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.