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Finding the Fourth Proportional to 6,992.53, 9,649.40 and 4,006.29

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Solution

The fourth proportional to 6,992.53, 9,649.40 and 4,006.29 is: 5,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.53 : 9,649.40 = 4,006.29 : x
  2. Step 2: Convert to fraction form
    6,992.53/9,649.40 = 4,006.29/x
  3. Step 3: Cross multiply
    6,992.53x = 9,649.40 × 4,006.29
  4. Step 4: Simplify right side
    6,992.53x = 38,658,280.62
  5. Step 5: Solve for x
    x = 38,658,280.62/6,992.53
  6. Step 6: Final answer
    x = 5,528.52

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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.