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Finding the Fourth Proportional to 6,182.86, 9,274.61 and 1,800.66

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Solution

The fourth proportional to 6,182.86, 9,274.61 and 1,800.66 is: 2,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.86 : 9,274.61 = 1,800.66 : x
  2. Step 2: Convert to fraction form
    6,182.86/9,274.61 = 1,800.66/x
  3. Step 3: Cross multiply
    6,182.86x = 9,274.61 × 1,800.66
  4. Step 4: Simplify right side
    6,182.86x = 16,700,423.74
  5. Step 5: Solve for x
    x = 16,700,423.74/6,182.86
  6. Step 6: Final answer
    x = 2,701.08

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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.