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Finding the Fourth Proportional to 5,993.70, 8,946.18 and 5,624.34

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Solution

The fourth proportional to 5,993.70, 8,946.18 and 5,624.34 is: 8,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.70 : 8,946.18 = 5,624.34 : x
  2. Step 2: Convert to fraction form
    5,993.70/8,946.18 = 5,624.34/x
  3. Step 3: Cross multiply
    5,993.70x = 8,946.18 × 5,624.34
  4. Step 4: Simplify right side
    5,993.70x = 50,316,358.02
  5. Step 5: Solve for x
    x = 50,316,358.02/5,993.70
  6. Step 6: Final answer
    x = 8,394.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.