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Finding the Fourth Proportional to 6,836.63, 9,435.74 and 6,524.97

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Solution

The fourth proportional to 6,836.63, 9,435.74 and 6,524.97 is: 9,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.63 : 9,435.74 = 6,524.97 : x
  2. Step 2: Convert to fraction form
    6,836.63/9,435.74 = 6,524.97/x
  3. Step 3: Cross multiply
    6,836.63x = 9,435.74 × 6,524.97
  4. Step 4: Simplify right side
    6,836.63x = 61,567,887.80
  5. Step 5: Solve for x
    x = 61,567,887.80/6,836.63
  6. Step 6: Final answer
    x = 9,005.60

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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.