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Finding the Fourth Proportional to 4,665.64, 6,994.14 and 1,741.72

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Solution

The fourth proportional to 4,665.64, 6,994.14 and 1,741.72 is: 2,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.64 : 6,994.14 = 1,741.72 : x
  2. Step 2: Convert to fraction form
    4,665.64/6,994.14 = 1,741.72/x
  3. Step 3: Cross multiply
    4,665.64x = 6,994.14 × 1,741.72
  4. Step 4: Simplify right side
    4,665.64x = 12,181,833.52
  5. Step 5: Solve for x
    x = 12,181,833.52/4,665.64
  6. Step 6: Final answer
    x = 2,610.97

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1.5x scale

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.