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Finding the Fourth Proportional to 6,992.70, 9,649.63 and 4,008.35

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Solution

The fourth proportional to 6,992.70, 9,649.63 and 4,008.35 is: 5,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.70 : 9,649.63 = 4,008.35 : x
  2. Step 2: Convert to fraction form
    6,992.70/9,649.63 = 4,008.35/x
  3. Step 3: Cross multiply
    6,992.70x = 9,649.63 × 4,008.35
  4. Step 4: Simplify right side
    6,992.70x = 38,679,123.55
  5. Step 5: Solve for x
    x = 38,679,123.55/6,992.70
  6. Step 6: Final answer
    x = 5,531.36

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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.