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Finding the Fourth Proportional to 7,701.50, 10,628.09 and 4,164.71

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Solution

The fourth proportional to 7,701.50, 10,628.09 and 4,164.71 is: 5,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.50 : 10,628.09 = 4,164.71 : x
  2. Step 2: Convert to fraction form
    7,701.50/10,628.09 = 4,164.71/x
  3. Step 3: Cross multiply
    7,701.50x = 10,628.09 × 4,164.71
  4. Step 4: Simplify right side
    7,701.50x = 44,262,838.74
  5. Step 5: Solve for x
    x = 44,262,838.74/7,701.50
  6. Step 6: Final answer
    x = 5,747.30

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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.