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Finding the Fourth Proportional to 6,574.88, 9,863.82 and 1,894.93

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Solution

The fourth proportional to 6,574.88, 9,863.82 and 1,894.93 is: 2,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.88 : 9,863.82 = 1,894.93 : x
  2. Step 2: Convert to fraction form
    6,574.88/9,863.82 = 1,894.93/x
  3. Step 3: Cross multiply
    6,574.88x = 9,863.82 × 1,894.93
  4. Step 4: Simplify right side
    6,574.88x = 18,691,223.77
  5. Step 5: Solve for x
    x = 18,691,223.77/6,574.88
  6. Step 6: Final answer
    x = 2,842.82

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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.