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Finding the Fourth Proportional to 6,093.76, 9,139.34 and 1,934.14

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Solution

The fourth proportional to 6,093.76, 9,139.34 and 1,934.14 is: 2,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.76 : 9,139.34 = 1,934.14 : x
  2. Step 2: Convert to fraction form
    6,093.76/9,139.34 = 1,934.14/x
  3. Step 3: Cross multiply
    6,093.76x = 9,139.34 × 1,934.14
  4. Step 4: Simplify right side
    6,093.76x = 17,676,763.07
  5. Step 5: Solve for x
    x = 17,676,763.07/6,093.76
  6. Step 6: Final answer
    x = 2,900.80

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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.