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Finding the Fourth Proportional to 4,497.65, 6,212.80 and 4,078.47

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Solution

The fourth proportional to 4,497.65, 6,212.80 and 4,078.47 is: 5,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.65 : 6,212.80 = 4,078.47 : x
  2. Step 2: Convert to fraction form
    4,497.65/6,212.80 = 4,078.47/x
  3. Step 3: Cross multiply
    4,497.65x = 6,212.80 × 4,078.47
  4. Step 4: Simplify right side
    4,497.65x = 25,338,708.22
  5. Step 5: Solve for x
    x = 25,338,708.22/4,497.65
  6. Step 6: Final answer
    x = 5,633.77

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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.