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Finding the Fourth Proportional to 6,857,978.63, 10,266,788.00 and 4,577,847.46

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Solution

The fourth proportional to 6,857,978.63, 10,266,788.00 and 4,577,847.46 is: 6,853,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,978.63 : 10,266,788.00 = 4,577,847.46 : x
  2. Step 2: Convert to fraction form
    6,857,978.63/10,266,788.00 = 4,577,847.46/x
  3. Step 3: Cross multiply
    6,857,978.63x = 10,266,788.00 × 4,577,847.46
  4. Step 4: Simplify right side
    6,857,978.63x = 46,999,789,353,936.12
  5. Step 5: Solve for x
    x = 46,999,789,353,936.12/6,857,978.63
  6. Step 6: Final answer
    x = 6,853,300.65

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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.