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Finding the Fourth Proportional to 6,702.13, 10,053.06 and 1,772.07

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Solution

The fourth proportional to 6,702.13, 10,053.06 and 1,772.07 is: 2,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.13 : 10,053.06 = 1,772.07 : x
  2. Step 2: Convert to fraction form
    6,702.13/10,053.06 = 1,772.07/x
  3. Step 3: Cross multiply
    6,702.13x = 10,053.06 × 1,772.07
  4. Step 4: Simplify right side
    6,702.13x = 17,814,726.03
  5. Step 5: Solve for x
    x = 17,814,726.03/6,702.13
  6. Step 6: Final answer
    x = 2,658.07

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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.