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Finding the Fourth Proportional to 7,832.93, 10,806.47 and 5,000.41

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Solution

The fourth proportional to 7,832.93, 10,806.47 and 5,000.41 is: 6,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.93 : 10,806.47 = 5,000.41 : x
  2. Step 2: Convert to fraction form
    7,832.93/10,806.47 = 5,000.41/x
  3. Step 3: Cross multiply
    7,832.93x = 10,806.47 × 5,000.41
  4. Step 4: Simplify right side
    7,832.93x = 54,036,780.65
  5. Step 5: Solve for x
    x = 54,036,780.65/7,832.93
  6. Step 6: Final answer
    x = 6,898.67

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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.