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Finding the Fourth Proportional to 6,051.76, 9,077.64 and 1,670.48

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Solution

The fourth proportional to 6,051.76, 9,077.64 and 1,670.48 is: 2,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.76 : 9,077.64 = 1,670.48 : x
  2. Step 2: Convert to fraction form
    6,051.76/9,077.64 = 1,670.48/x
  3. Step 3: Cross multiply
    6,051.76x = 9,077.64 × 1,670.48
  4. Step 4: Simplify right side
    6,051.76x = 15,164,016.07
  5. Step 5: Solve for x
    x = 15,164,016.07/6,051.76
  6. Step 6: Final answer
    x = 2,505.72

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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.