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Finding the Fourth Proportional to 4,693.56, 6,478.56 and 2,705.44

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Solution

The fourth proportional to 4,693.56, 6,478.56 and 2,705.44 is: 3,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.56 : 6,478.56 = 2,705.44 : x
  2. Step 2: Convert to fraction form
    4,693.56/6,478.56 = 2,705.44/x
  3. Step 3: Cross multiply
    4,693.56x = 6,478.56 × 2,705.44
  4. Step 4: Simplify right side
    4,693.56x = 17,527,355.37
  5. Step 5: Solve for x
    x = 17,527,355.37/4,693.56
  6. Step 6: Final answer
    x = 3,734.34

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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.