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Finding the Fourth Proportional to 6,374,978.10, 9,564,343.28 and 2,056,947.32

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Solution

The fourth proportional to 6,374,978.10, 9,564,343.28 and 2,056,947.32 is: 3,086,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374,978.10 : 9,564,343.28 = 2,056,947.32 : x
  2. Step 2: Convert to fraction form
    6,374,978.10/9,564,343.28 = 2,056,947.32/x
  3. Step 3: Cross multiply
    6,374,978.10x = 9,564,343.28 × 2,056,947.32
  4. Step 4: Simplify right side
    6,374,978.10x = 19,673,350,248,753.03
  5. Step 5: Solve for x
    x = 19,673,350,248,753.03/6,374,978.10
  6. Step 6: Final answer
    x = 3,086,026.33

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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.