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Finding the Fourth Proportional to 6,537.76, 9,808.29 and 1,920.76

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Solution

The fourth proportional to 6,537.76, 9,808.29 and 1,920.76 is: 2,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.76 : 9,808.29 = 1,920.76 : x
  2. Step 2: Convert to fraction form
    6,537.76/9,808.29 = 1,920.76/x
  3. Step 3: Cross multiply
    6,537.76x = 9,808.29 × 1,920.76
  4. Step 4: Simplify right side
    6,537.76x = 18,839,371.10
  5. Step 5: Solve for x
    x = 18,839,371.10/6,537.76
  6. Step 6: Final answer
    x = 2,881.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.