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Finding the Fourth Proportional to 4,705.68, 6,493.68 and 2,609.76

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Solution

The fourth proportional to 4,705.68, 6,493.68 and 2,609.76 is: 3,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.68 : 6,493.68 = 2,609.76 : x
  2. Step 2: Convert to fraction form
    4,705.68/6,493.68 = 2,609.76/x
  3. Step 3: Cross multiply
    4,705.68x = 6,493.68 × 2,609.76
  4. Step 4: Simplify right side
    4,705.68x = 16,946,946.32
  5. Step 5: Solve for x
    x = 16,946,946.32/4,705.68
  6. Step 6: Final answer
    x = 3,601.38

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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.