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Finding the Fourth Proportional to 6,564,856.80, 9,841,755.60 and 3,412,984.80

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Solution

The fourth proportional to 6,564,856.80, 9,841,755.60 and 3,412,984.80 is: 5,116,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,856.80 : 9,841,755.60 = 3,412,984.80 : x
  2. Step 2: Convert to fraction form
    6,564,856.80/9,841,755.60 = 3,412,984.80/x
  3. Step 3: Cross multiply
    6,564,856.80x = 9,841,755.60 × 3,412,984.80
  4. Step 4: Simplify right side
    6,564,856.80x = 33,589,762,268,114.88
  5. Step 5: Solve for x
    x = 33,589,762,268,114.88/6,564,856.80
  6. Step 6: Final answer
    x = 5,116,602.43

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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.