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Finding the Fourth Proportional to 6,670.50, 10,005.89 and 2,053.50

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Solution

The fourth proportional to 6,670.50, 10,005.89 and 2,053.50 is: 3,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.50 : 10,005.89 = 2,053.50 : x
  2. Step 2: Convert to fraction form
    6,670.50/10,005.89 = 2,053.50/x
  3. Step 3: Cross multiply
    6,670.50x = 10,005.89 × 2,053.50
  4. Step 4: Simplify right side
    6,670.50x = 20,547,084.85
  5. Step 5: Solve for x
    x = 20,547,084.85/6,670.50
  6. Step 6: Final answer
    x = 3,080.29

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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.