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Finding the Fourth Proportional to 6,143.40, 9,218.10 and 2,854.80

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Solution

The fourth proportional to 6,143.40, 9,218.10 and 2,854.80 is: 4,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.40 : 9,218.10 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    6,143.40/9,218.10 = 2,854.80/x
  3. Step 3: Cross multiply
    6,143.40x = 9,218.10 × 2,854.80
  4. Step 4: Simplify right side
    6,143.40x = 26,315,831.88
  5. Step 5: Solve for x
    x = 26,315,831.88/6,143.40
  6. Step 6: Final answer
    x = 4,283.59

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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.