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Finding the Fourth Proportional to 6,643,217.70, 9,947,111.85 and 6,643,217.70

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Solution

The fourth proportional to 6,643,217.70, 9,947,111.85 and 6,643,217.70 is: 9,947,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,217.70 : 9,947,111.85 = 6,643,217.70 : x
  2. Step 2: Convert to fraction form
    6,643,217.70/9,947,111.85 = 6,643,217.70/x
  3. Step 3: Cross multiply
    6,643,217.70x = 9,947,111.85 × 6,643,217.70
  4. Step 4: Simplify right side
    6,643,217.70x = 66,080,829,505,799.74
  5. Step 5: Solve for x
    x = 66,080,829,505,799.74/6,643,217.70
  6. Step 6: Final answer
    x = 9,947,111.85

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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.