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Finding the Fourth Proportional to 11,588.66, 15,992.12 and 6,283.38

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Solution

The fourth proportional to 11,588.66, 15,992.12 and 6,283.38 is: 8,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.66 : 15,992.12 = 6,283.38 : x
  2. Step 2: Convert to fraction form
    11,588.66/15,992.12 = 6,283.38/x
  3. Step 3: Cross multiply
    11,588.66x = 15,992.12 × 6,283.38
  4. Step 4: Simplify right side
    11,588.66x = 100,484,566.97
  5. Step 5: Solve for x
    x = 100,484,566.97/11,588.66
  6. Step 6: Final answer
    x = 8,670.94

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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.