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Finding the Fourth Proportional to 6,491,862.90, 9,737,794.35 and 1,699,542.90

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Solution

The fourth proportional to 6,491,862.90, 9,737,794.35 and 1,699,542.90 is: 2,549,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491,862.90 : 9,737,794.35 = 1,699,542.90 : x
  2. Step 2: Convert to fraction form
    6,491,862.90/9,737,794.35 = 1,699,542.90/x
  3. Step 3: Cross multiply
    6,491,862.90x = 9,737,794.35 × 1,699,542.90
  4. Step 4: Simplify right side
    6,491,862.90x = 16,549,799,249,202.61
  5. Step 5: Solve for x
    x = 16,549,799,249,202.61/6,491,862.90
  6. Step 6: Final answer
    x = 2,549,314.35

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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.