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Finding the Fourth Proportional to 11,411.04, 15,747.28 and 6,695.44

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Solution

The fourth proportional to 11,411.04, 15,747.28 and 6,695.44 is: 9,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.04 : 15,747.28 = 6,695.44 : x
  2. Step 2: Convert to fraction form
    11,411.04/15,747.28 = 6,695.44/x
  3. Step 3: Cross multiply
    11,411.04x = 15,747.28 × 6,695.44
  4. Step 4: Simplify right side
    11,411.04x = 105,434,968.40
  5. Step 5: Solve for x
    x = 105,434,968.40/11,411.04
  6. Step 6: Final answer
    x = 9,239.73

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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.