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Finding the Fourth Proportional to 8,103.74, 11,182.94 and 4,566.86

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Solution

The fourth proportional to 8,103.74, 11,182.94 and 4,566.86 is: 6,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.74 : 11,182.94 = 4,566.86 : x
  2. Step 2: Convert to fraction form
    8,103.74/11,182.94 = 4,566.86/x
  3. Step 3: Cross multiply
    8,103.74x = 11,182.94 × 4,566.86
  4. Step 4: Simplify right side
    8,103.74x = 51,070,921.37
  5. Step 5: Solve for x
    x = 51,070,921.37/8,103.74
  6. Step 6: Final answer
    x = 6,302.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.