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Finding the Fourth Proportional to 6,435.46, 9,653.13 and 2,053.30

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Solution

The fourth proportional to 6,435.46, 9,653.13 and 2,053.30 is: 3,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.46 : 9,653.13 = 2,053.30 : x
  2. Step 2: Convert to fraction form
    6,435.46/9,653.13 = 2,053.30/x
  3. Step 3: Cross multiply
    6,435.46x = 9,653.13 × 2,053.30
  4. Step 4: Simplify right side
    6,435.46x = 19,820,771.83
  5. Step 5: Solve for x
    x = 19,820,771.83/6,435.46
  6. Step 6: Final answer
    x = 3,079.93

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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.