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Finding the Fourth Proportional to 6,559.68, 9,839.16 and 1,942.68

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Solution

The fourth proportional to 6,559.68, 9,839.16 and 1,942.68 is: 2,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.68 : 9,839.16 = 1,942.68 : x
  2. Step 2: Convert to fraction form
    6,559.68/9,839.16 = 1,942.68/x
  3. Step 3: Cross multiply
    6,559.68x = 9,839.16 × 1,942.68
  4. Step 4: Simplify right side
    6,559.68x = 19,114,339.35
  5. Step 5: Solve for x
    x = 19,114,339.35/6,559.68
  6. Step 6: Final answer
    x = 2,913.91

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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.