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Finding the Fourth Proportional to 6,670.43, 10,005.66 and 1,740.06

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Solution

The fourth proportional to 6,670.43, 10,005.66 and 1,740.06 is: 2,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.43 : 10,005.66 = 1,740.06 : x
  2. Step 2: Convert to fraction form
    6,670.43/10,005.66 = 1,740.06/x
  3. Step 3: Cross multiply
    6,670.43x = 10,005.66 × 1,740.06
  4. Step 4: Simplify right side
    6,670.43x = 17,410,448.74
  5. Step 5: Solve for x
    x = 17,410,448.74/6,670.43
  6. Step 6: Final answer
    x = 2,610.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.