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Finding the Fourth Proportional to 6,670.25, 10,005.51 and 2,053.25

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Solution

The fourth proportional to 6,670.25, 10,005.51 and 2,053.25 is: 3,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.25 : 10,005.51 = 2,053.25 : x
  2. Step 2: Convert to fraction form
    6,670.25/10,005.51 = 2,053.25/x
  3. Step 3: Cross multiply
    6,670.25x = 10,005.51 × 2,053.25
  4. Step 4: Simplify right side
    6,670.25x = 20,543,813.41
  5. Step 5: Solve for x
    x = 20,543,813.41/6,670.25
  6. Step 6: Final answer
    x = 3,079.92

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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.