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Finding the Fourth Proportional to 6,367.84, 9,551.80 and 1,985.20

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Solution

The fourth proportional to 6,367.84, 9,551.80 and 1,985.20 is: 2,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.84 : 9,551.80 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    6,367.84/9,551.80 = 1,985.20/x
  3. Step 3: Cross multiply
    6,367.84x = 9,551.80 × 1,985.20
  4. Step 4: Simplify right side
    6,367.84x = 18,962,233.36
  5. Step 5: Solve for x
    x = 18,962,233.36/6,367.84
  6. Step 6: Final answer
    x = 2,977.81

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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.