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Finding the Fourth Proportional to 4,548.69, 6,824.25 and 2,602.26

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Solution

The fourth proportional to 4,548.69, 6,824.25 and 2,602.26 is: 3,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.69 : 6,824.25 = 2,602.26 : x
  2. Step 2: Convert to fraction form
    4,548.69/6,824.25 = 2,602.26/x
  3. Step 3: Cross multiply
    4,548.69x = 6,824.25 × 2,602.26
  4. Step 4: Simplify right side
    4,548.69x = 17,758,472.81
  5. Step 5: Solve for x
    x = 17,758,472.81/4,548.69
  6. Step 6: Final answer
    x = 3,904.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.