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Finding the Fourth Proportional to 7,832.92, 10,806.48 and 5,000.40

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Solution

The fourth proportional to 7,832.92, 10,806.48 and 5,000.40 is: 6,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.92 : 10,806.48 = 5,000.40 : x
  2. Step 2: Convert to fraction form
    7,832.92/10,806.48 = 5,000.40/x
  3. Step 3: Cross multiply
    7,832.92x = 10,806.48 × 5,000.40
  4. Step 4: Simplify right side
    7,832.92x = 54,036,722.59
  5. Step 5: Solve for x
    x = 54,036,722.59/7,832.92
  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.