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Finding the Fourth Proportional to 11,411.70, 15,749.28 and 6,695.88

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Solution

The fourth proportional to 11,411.70, 15,749.28 and 6,695.88 is: 9,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.70 : 15,749.28 = 6,695.88 : x
  2. Step 2: Convert to fraction form
    11,411.70/15,749.28 = 6,695.88/x
  3. Step 3: Cross multiply
    11,411.70x = 15,749.28 × 6,695.88
  4. Step 4: Simplify right side
    11,411.70x = 105,455,288.97
  5. Step 5: Solve for x
    x = 105,455,288.97/11,411.70
  6. Step 6: Final answer
    x = 9,240.98

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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.