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Finding the Fourth Proportional to 6,992.40, 9,649.68 and 3,848.78

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Solution

The fourth proportional to 6,992.40, 9,649.68 and 3,848.78 is: 5,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.40 : 9,649.68 = 3,848.78 : x
  2. Step 2: Convert to fraction form
    6,992.40/9,649.68 = 3,848.78/x
  3. Step 3: Cross multiply
    6,992.40x = 9,649.68 × 3,848.78
  4. Step 4: Simplify right side
    6,992.40x = 37,139,495.39
  5. Step 5: Solve for x
    x = 37,139,495.39/6,992.40
  6. Step 6: Final answer
    x = 5,311.41

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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.