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Finding the Fourth Proportional to 6,543,657.55, 9,819,969.90 and 2,283,825.78

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Solution

The fourth proportional to 6,543,657.55, 9,819,969.90 and 2,283,825.78 is: 3,427,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,657.55 : 9,819,969.90 = 2,283,825.78 : x
  2. Step 2: Convert to fraction form
    6,543,657.55/9,819,969.90 = 2,283,825.78/x
  3. Step 3: Cross multiply
    6,543,657.55x = 9,819,969.90 × 2,283,825.78
  4. Step 4: Simplify right side
    6,543,657.55x = 22,427,100,407,879.67
  5. Step 5: Solve for x
    x = 22,427,100,407,879.67/6,543,657.55
  6. Step 6: Final answer
    x = 3,427,303.50

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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.