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Finding the Fourth Proportional to 7,701.63, 10,628.25 and 4,164.84

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Solution

The fourth proportional to 7,701.63, 10,628.25 and 4,164.84 is: 5,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.63 : 10,628.25 = 4,164.84 : x
  2. Step 2: Convert to fraction form
    7,701.63/10,628.25 = 4,164.84/x
  3. Step 3: Cross multiply
    7,701.63x = 10,628.25 × 4,164.84
  4. Step 4: Simplify right side
    7,701.63x = 44,264,960.73
  5. Step 5: Solve for x
    x = 44,264,960.73/7,701.63
  6. Step 6: Final answer
    x = 5,747.48

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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.