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Finding the Fourth Proportional to 6,435.70, 9,652.74 and 2,053.60

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Solution

The fourth proportional to 6,435.70, 9,652.74 and 2,053.60 is: 3,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.70 : 9,652.74 = 2,053.60 : x
  2. Step 2: Convert to fraction form
    6,435.70/9,652.74 = 2,053.60/x
  3. Step 3: Cross multiply
    6,435.70x = 9,652.74 × 2,053.60
  4. Step 4: Simplify right side
    6,435.70x = 19,822,866.86
  5. Step 5: Solve for x
    x = 19,822,866.86/6,435.70
  6. Step 6: Final answer
    x = 3,080.14

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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.