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Finding the Fourth Proportional to 6,292.92, 8,683.70 and 3,640.50

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Solution

The fourth proportional to 6,292.92, 8,683.70 and 3,640.50 is: 5,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.92 : 8,683.70 = 3,640.50 : x
  2. Step 2: Convert to fraction form
    6,292.92/8,683.70 = 3,640.50/x
  3. Step 3: Cross multiply
    6,292.92x = 8,683.70 × 3,640.50
  4. Step 4: Simplify right side
    6,292.92x = 31,613,009.85
  5. Step 5: Solve for x
    x = 31,613,009.85/6,292.92
  6. Step 6: Final answer
    x = 5,023.58

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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.