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Finding the Fourth Proportional to 7,364.46, 10,162.77 and 4,220.46

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Solution

The fourth proportional to 7,364.46, 10,162.77 and 4,220.46 is: 5,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.46 : 10,162.77 = 4,220.46 : x
  2. Step 2: Convert to fraction form
    7,364.46/10,162.77 = 4,220.46/x
  3. Step 3: Cross multiply
    7,364.46x = 10,162.77 × 4,220.46
  4. Step 4: Simplify right side
    7,364.46x = 42,891,564.27
  5. Step 5: Solve for x
    x = 42,891,564.27/7,364.46
  6. Step 6: Final answer
    x = 5,824.13

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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.