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Finding the Fourth Proportional to 11,097.34, 15,310.95 and 6,681.34

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Solution

The fourth proportional to 11,097.34, 15,310.95 and 6,681.34 is: 9,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.34 : 15,310.95 = 6,681.34 : x
  2. Step 2: Convert to fraction form
    11,097.34/15,310.95 = 6,681.34/x
  3. Step 3: Cross multiply
    11,097.34x = 15,310.95 × 6,681.34
  4. Step 4: Simplify right side
    11,097.34x = 102,297,662.67
  5. Step 5: Solve for x
    x = 102,297,662.67/11,097.34
  6. Step 6: Final answer
    x = 9,218.21

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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.