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Finding the Fourth Proportional to 11,411.76, 15,748.11 and 6,695.14

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Solution

The fourth proportional to 11,411.76, 15,748.11 and 6,695.14 is: 9,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.76 : 15,748.11 = 6,695.14 : x
  2. Step 2: Convert to fraction form
    11,411.76/15,748.11 = 6,695.14/x
  3. Step 3: Cross multiply
    11,411.76x = 15,748.11 × 6,695.14
  4. Step 4: Simplify right side
    11,411.76x = 105,435,801.19
  5. Step 5: Solve for x
    x = 105,435,801.19/11,411.76
  6. Step 6: Final answer
    x = 9,239.22

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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.