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Finding the Fourth Proportional to 6,584,143.80, 9,897,210.90 and 6,206,230.20

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Solution

The fourth proportional to 6,584,143.80, 9,897,210.90 and 6,206,230.20 is: 9,329,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,143.80 : 9,897,210.90 = 6,206,230.20 : x
  2. Step 2: Convert to fraction form
    6,584,143.80/9,897,210.90 = 6,206,230.20/x
  3. Step 3: Cross multiply
    6,584,143.80x = 9,897,210.90 × 6,206,230.20
  4. Step 4: Simplify right side
    6,584,143.80x = 61,424,369,183,349.19
  5. Step 5: Solve for x
    x = 61,424,369,183,349.19/6,584,143.80
  6. Step 6: Final answer
    x = 9,329,135.43

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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.