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Finding the Fourth Proportional to 6,938.92, 9,566.08 and 4,697.24

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Solution

The fourth proportional to 6,938.92, 9,566.08 and 4,697.24 is: 6,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.92 : 9,566.08 = 4,697.24 : x
  2. Step 2: Convert to fraction form
    6,938.92/9,566.08 = 4,697.24/x
  3. Step 3: Cross multiply
    6,938.92x = 9,566.08 × 4,697.24
  4. Step 4: Simplify right side
    6,938.92x = 44,934,173.62
  5. Step 5: Solve for x
    x = 44,934,173.62/6,938.92
  6. Step 6: Final answer
    x = 6,475.67

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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.