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Finding the Fourth Proportional to 6,596,156.82, 9,905,469.12 and 4,294,567.74

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Solution

The fourth proportional to 6,596,156.82, 9,905,469.12 and 4,294,567.74 is: 6,449,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596,156.82 : 9,905,469.12 = 4,294,567.74 : x
  2. Step 2: Convert to fraction form
    6,596,156.82/9,905,469.12 = 4,294,567.74/x
  3. Step 3: Cross multiply
    6,596,156.82x = 9,905,469.12 × 4,294,567.74
  4. Step 4: Simplify right side
    6,596,156.82x = 42,539,708,110,845.35
  5. Step 5: Solve for x
    x = 42,539,708,110,845.35/6,596,156.82
  6. Step 6: Final answer
    x = 6,449,165.67

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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.