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Finding the Fourth Proportional to 6,584,242.80, 9,897,359.40 and 6,206,329.20

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Solution

The fourth proportional to 6,584,242.80, 9,897,359.40 and 6,206,329.20 is: 9,329,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,242.80 : 9,897,359.40 = 6,206,329.20 : x
  2. Step 2: Convert to fraction form
    6,584,242.80/9,897,359.40 = 6,206,329.20/x
  3. Step 3: Cross multiply
    6,584,242.80x = 9,897,359.40 × 6,206,329.20
  4. Step 4: Simplify right side
    6,584,242.80x = 61,426,270,647,114.48
  5. Step 5: Solve for x
    x = 61,426,270,647,114.48/6,584,242.80
  6. Step 6: Final answer
    x = 9,329,283.95

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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.