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Finding the Fourth Proportional to 6,801.32, 9,386.18 and 3,817

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Solution

The fourth proportional to 6,801.32, 9,386.18 and 3,817 is: 5,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.32 : 9,386.18 = 3,817 : x
  2. Step 2: Convert to fraction form
    6,801.32/9,386.18 = 3,817/x
  3. Step 3: Cross multiply
    6,801.32x = 9,386.18 × 3,817
  4. Step 4: Simplify right side
    6,801.32x = 35,827,049.06
  5. Step 5: Solve for x
    x = 35,827,049.06/6,801.32
  6. Step 6: Final answer
    x = 5,267.66

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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.