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Finding the Fourth Proportional to 4,705.64, 6,494 and 2,609.64

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Solution

The fourth proportional to 4,705.64, 6,494 and 2,609.64 is: 3,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.64 : 6,494 = 2,609.64 : x
  2. Step 2: Convert to fraction form
    4,705.64/6,494 = 2,609.64/x
  3. Step 3: Cross multiply
    4,705.64x = 6,494 × 2,609.64
  4. Step 4: Simplify right side
    4,705.64x = 16,947,002.16
  5. Step 5: Solve for x
    x = 16,947,002.16/4,705.64
  6. Step 6: Final answer
    x = 3,601.42

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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.