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Finding the Fourth Proportional to 6,992.28, 9,649.06 and 4,006.04

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Solution

The fourth proportional to 6,992.28, 9,649.06 and 4,006.04 is: 5,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.28 : 9,649.06 = 4,006.04 : x
  2. Step 2: Convert to fraction form
    6,992.28/9,649.06 = 4,006.04/x
  3. Step 3: Cross multiply
    6,992.28x = 9,649.06 × 4,006.04
  4. Step 4: Simplify right side
    6,992.28x = 38,654,486.18
  5. Step 5: Solve for x
    x = 38,654,486.18/6,992.28
  6. Step 6: Final answer
    x = 5,528.17

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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.