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Finding the Fourth Proportional to 6,646,414.16, 9,965,362.08 and 2,807,196.32

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Solution

The fourth proportional to 6,646,414.16, 9,965,362.08 and 2,807,196.32 is: 4,208,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,414.16 : 9,965,362.08 = 2,807,196.32 : x
  2. Step 2: Convert to fraction form
    6,646,414.16/9,965,362.08 = 2,807,196.32/x
  3. Step 3: Cross multiply
    6,646,414.16x = 9,965,362.08 × 2,807,196.32
  4. Step 4: Simplify right side
    6,646,414.16x = 27,974,727,758,443.54
  5. Step 5: Solve for x
    x = 27,974,727,758,443.54/6,646,414.16
  6. Step 6: Final answer
    x = 4,208,995.57

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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.