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Finding the Fourth Proportional to 4,662.06, 6,434.06 and 2,566.32

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Solution

The fourth proportional to 4,662.06, 6,434.06 and 2,566.32 is: 3,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.06 : 6,434.06 = 2,566.32 : x
  2. Step 2: Convert to fraction form
    4,662.06/6,434.06 = 2,566.32/x
  3. Step 3: Cross multiply
    4,662.06x = 6,434.06 × 2,566.32
  4. Step 4: Simplify right side
    4,662.06x = 16,511,856.86
  5. Step 5: Solve for x
    x = 16,511,856.86/4,662.06
  6. Step 6: Final answer
    x = 3,541.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.