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Finding the Fourth Proportional to 7,701.44, 10,627.94 and 4,164.63

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Solution

The fourth proportional to 7,701.44, 10,627.94 and 4,164.63 is: 5,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.44 : 10,627.94 = 4,164.63 : x
  2. Step 2: Convert to fraction form
    7,701.44/10,627.94 = 4,164.63/x
  3. Step 3: Cross multiply
    7,701.44x = 10,627.94 × 4,164.63
  4. Step 4: Simplify right side
    7,701.44x = 44,261,416.94
  5. Step 5: Solve for x
    x = 44,261,416.94/7,701.44
  6. Step 6: Final answer
    x = 5,747.16

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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.