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Finding the Fourth Proportional to 6,309.92, 8,708.46 and 3,657.26

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Solution

The fourth proportional to 6,309.92, 8,708.46 and 3,657.26 is: 5,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.92 : 8,708.46 = 3,657.26 : x
  2. Step 2: Convert to fraction form
    6,309.92/8,708.46 = 3,657.26/x
  3. Step 3: Cross multiply
    6,309.92x = 8,708.46 × 3,657.26
  4. Step 4: Simplify right side
    6,309.92x = 31,849,102.42
  5. Step 5: Solve for x
    x = 31,849,102.42/6,309.92
  6. Step 6: Final answer
    x = 5,047.47

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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.