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Finding the Fourth Proportional to 6,178.77, 9,268.16 and 2,894.18

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Solution

The fourth proportional to 6,178.77, 9,268.16 and 2,894.18 is: 4,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.77 : 9,268.16 = 2,894.18 : x
  2. Step 2: Convert to fraction form
    6,178.77/9,268.16 = 2,894.18/x
  3. Step 3: Cross multiply
    6,178.77x = 9,268.16 × 2,894.18
  4. Step 4: Simplify right side
    6,178.77x = 26,823,662.50
  5. Step 5: Solve for x
    x = 26,823,662.50/6,178.77
  6. Step 6: Final answer
    x = 4,341.26

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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.