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Finding the Fourth Proportional to 11,588.01, 15,975.98 and 9,205.88

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Solution

The fourth proportional to 11,588.01, 15,975.98 and 9,205.88 is: 12,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.01 : 15,975.98 = 9,205.88 : x
  2. Step 2: Convert to fraction form
    11,588.01/15,975.98 = 9,205.88/x
  3. Step 3: Cross multiply
    11,588.01x = 15,975.98 × 9,205.88
  4. Step 4: Simplify right side
    11,588.01x = 147,072,954.76
  5. Step 5: Solve for x
    x = 147,072,954.76/11,588.01
  6. Step 6: Final answer
    x = 12,691.82

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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.