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Finding the Fourth Proportional to 4,657.69, 6,427.69 and 2,668.42

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Solution

The fourth proportional to 4,657.69, 6,427.69 and 2,668.42 is: 3,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.69 : 6,427.69 = 2,668.42 : x
  2. Step 2: Convert to fraction form
    4,657.69/6,427.69 = 2,668.42/x
  3. Step 3: Cross multiply
    4,657.69x = 6,427.69 × 2,668.42
  4. Step 4: Simplify right side
    4,657.69x = 17,151,731.07
  5. Step 5: Solve for x
    x = 17,151,731.07/4,657.69
  6. Step 6: Final answer
    x = 3,682.46

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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.