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Finding the Fourth Proportional to 5,598.76, 7,724.90 and 3,606.92

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Solution

The fourth proportional to 5,598.76, 7,724.90 and 3,606.92 is: 4,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.76 : 7,724.90 = 3,606.92 : x
  2. Step 2: Convert to fraction form
    5,598.76/7,724.90 = 3,606.92/x
  3. Step 3: Cross multiply
    5,598.76x = 7,724.90 × 3,606.92
  4. Step 4: Simplify right side
    5,598.76x = 27,863,096.31
  5. Step 5: Solve for x
    x = 27,863,096.31/5,598.76
  6. Step 6: Final answer
    x = 4,976.65

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Half scale
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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.