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Finding the Fourth Proportional to 6,182.76, 9,274.16 and 1,565.76

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Solution

The fourth proportional to 6,182.76, 9,274.16 and 1,565.76 is: 2,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.76 : 9,274.16 = 1,565.76 : x
  2. Step 2: Convert to fraction form
    6,182.76/9,274.16 = 1,565.76/x
  3. Step 3: Cross multiply
    6,182.76x = 9,274.16 × 1,565.76
  4. Step 4: Simplify right side
    6,182.76x = 14,521,108.76
  5. Step 5: Solve for x
    x = 14,521,108.76/6,182.76
  6. Step 6: Final answer
    x = 2,348.65

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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.