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Finding the Fourth Proportional to 6,054.57, 9,078.30 and 2,306.57

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Solution

The fourth proportional to 6,054.57, 9,078.30 and 2,306.57 is: 3,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.57 : 9,078.30 = 2,306.57 : x
  2. Step 2: Convert to fraction form
    6,054.57/9,078.30 = 2,306.57/x
  3. Step 3: Cross multiply
    6,054.57x = 9,078.30 × 2,306.57
  4. Step 4: Simplify right side
    6,054.57x = 20,939,689.04
  5. Step 5: Solve for x
    x = 20,939,689.04/6,054.57
  6. Step 6: Final answer
    x = 3,458.49

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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.