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Finding the Fourth Proportional to 4,859.44, 6,701.88 and 4,106.86

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Solution

The fourth proportional to 4,859.44, 6,701.88 and 4,106.86 is: 5,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.44 : 6,701.88 = 4,106.86 : x
  2. Step 2: Convert to fraction form
    4,859.44/6,701.88 = 4,106.86/x
  3. Step 3: Cross multiply
    4,859.44x = 6,701.88 × 4,106.86
  4. Step 4: Simplify right side
    4,859.44x = 27,523,682.90
  5. Step 5: Solve for x
    x = 27,523,682.90/4,859.44
  6. Step 6: Final answer
    x = 5,663.96

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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.