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Finding the Fourth Proportional to 6,998,946.78, 9,658,546.50 and 3,779,682.78

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Solution

The fourth proportional to 6,998,946.78, 9,658,546.50 and 3,779,682.78 is: 5,215,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,946.78 : 9,658,546.50 = 3,779,682.78 : x
  2. Step 2: Convert to fraction form
    6,998,946.78/9,658,546.50 = 3,779,682.78/x
  3. Step 3: Cross multiply
    6,998,946.78x = 9,658,546.50 × 3,779,682.78
  4. Step 4: Simplify right side
    6,998,946.78x = 36,506,241,885,879.27
  5. Step 5: Solve for x
    x = 36,506,241,885,879.27/6,998,946.78
  6. Step 6: Final answer
    x = 5,215,962.21

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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.