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Finding the Fourth Proportional to 6,962.09, 9,607.71 and 3,818.27

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Solution

The fourth proportional to 6,962.09, 9,607.71 and 3,818.27 is: 5,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.09 : 9,607.71 = 3,818.27 : x
  2. Step 2: Convert to fraction form
    6,962.09/9,607.71 = 3,818.27/x
  3. Step 3: Cross multiply
    6,962.09x = 9,607.71 × 3,818.27
  4. Step 4: Simplify right side
    6,962.09x = 36,684,869.20
  5. Step 5: Solve for x
    x = 36,684,869.20/6,962.09
  6. Step 6: Final answer
    x = 5,269.24

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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.