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Finding the Fourth Proportional to 6,489.50, 8,955.61 and 3,837.16

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Solution

The fourth proportional to 6,489.50, 8,955.61 and 3,837.16 is: 5,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.50 : 8,955.61 = 3,837.16 : x
  2. Step 2: Convert to fraction form
    6,489.50/8,955.61 = 3,837.16/x
  3. Step 3: Cross multiply
    6,489.50x = 8,955.61 × 3,837.16
  4. Step 4: Simplify right side
    6,489.50x = 34,364,108.47
  5. Step 5: Solve for x
    x = 34,364,108.47/6,489.50
  6. Step 6: Final answer
    x = 5,295.34

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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.