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Finding the Fourth Proportional to 5,121.36, 7,684.80 and 5,029.80

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Solution

The fourth proportional to 5,121.36, 7,684.80 and 5,029.80 is: 7,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.36 : 7,684.80 = 5,029.80 : x
  2. Step 2: Convert to fraction form
    5,121.36/7,684.80 = 5,029.80/x
  3. Step 3: Cross multiply
    5,121.36x = 7,684.80 × 5,029.80
  4. Step 4: Simplify right side
    5,121.36x = 38,653,007.04
  5. Step 5: Solve for x
    x = 38,653,007.04/5,121.36
  6. Step 6: Final answer
    x = 7,547.41

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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.