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Finding the Fourth Proportional to 6,182.75, 9,274.13 and 2,898.15

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Solution

The fourth proportional to 6,182.75, 9,274.13 and 2,898.15 is: 4,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.75 : 9,274.13 = 2,898.15 : x
  2. Step 2: Convert to fraction form
    6,182.75/9,274.13 = 2,898.15/x
  3. Step 3: Cross multiply
    6,182.75x = 9,274.13 × 2,898.15
  4. Step 4: Simplify right side
    6,182.75x = 26,877,805.37
  5. Step 5: Solve for x
    x = 26,877,805.37/6,182.75
  6. Step 6: Final answer
    x = 4,347.23

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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.