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Finding the Fourth Proportional to 10,141.00, 15,194.08 and 9,113.82

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Solution

The fourth proportional to 10,141.00, 15,194.08 and 9,113.82 is: 13,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.00 : 15,194.08 = 9,113.82 : x
  2. Step 2: Convert to fraction form
    10,141.00/15,194.08 = 9,113.82/x
  3. Step 3: Cross multiply
    10,141.00x = 15,194.08 × 9,113.82
  4. Step 4: Simplify right side
    10,141.00x = 138,476,064.60
  5. Step 5: Solve for x
    x = 138,476,064.60/10,141.00
  6. Step 6: Final answer
    x = 13,655.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.