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Finding the Fourth Proportional to 6,489,472.34, 9,733,464.92 and 1,697,624.12

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Solution

The fourth proportional to 6,489,472.34, 9,733,464.92 and 1,697,624.12 is: 2,546,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,472.34 : 9,733,464.92 = 1,697,624.12 : x
  2. Step 2: Convert to fraction form
    6,489,472.34/9,733,464.92 = 1,697,624.12/x
  3. Step 3: Cross multiply
    6,489,472.34x = 9,733,464.92 × 1,697,624.12
  4. Step 4: Simplify right side
    6,489,472.34x = 16,523,764,762,210.42
  5. Step 5: Solve for x
    x = 16,523,764,762,210.42/6,489,472.34
  6. Step 6: Final answer
    x = 2,546,241.65

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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.