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Finding the Fourth Proportional to 11,592.92, 15,983.12 and 9,466.27

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Solution

The fourth proportional to 11,592.92, 15,983.12 and 9,466.27 is: 13,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.92 : 15,983.12 = 9,466.27 : x
  2. Step 2: Convert to fraction form
    11,592.92/15,983.12 = 9,466.27/x
  3. Step 3: Cross multiply
    11,592.92x = 15,983.12 × 9,466.27
  4. Step 4: Simplify right side
    11,592.92x = 151,300,513.07
  5. Step 5: Solve for x
    x = 151,300,513.07/11,592.92
  6. Step 6: Final answer
    x = 13,051.11

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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.