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Finding the Fourth Proportional to 6,817.58, 9,410.82 and 5,869.88

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Solution

The fourth proportional to 6,817.58, 9,410.82 and 5,869.88 is: 8,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.58 : 9,410.82 = 5,869.88 : x
  2. Step 2: Convert to fraction form
    6,817.58/9,410.82 = 5,869.88/x
  3. Step 3: Cross multiply
    6,817.58x = 9,410.82 × 5,869.88
  4. Step 4: Simplify right side
    6,817.58x = 55,240,384.10
  5. Step 5: Solve for x
    x = 55,240,384.10/6,817.58
  6. Step 6: Final answer
    x = 8,102.64

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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.