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Finding the Fourth Proportional to 11,309.52, 16,918.20 and 9,466.32

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Solution

The fourth proportional to 11,309.52, 16,918.20 and 9,466.32 is: 14,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.52 : 16,918.20 = 9,466.32 : x
  2. Step 2: Convert to fraction form
    11,309.52/16,918.20 = 9,466.32/x
  3. Step 3: Cross multiply
    11,309.52x = 16,918.20 × 9,466.32
  4. Step 4: Simplify right side
    11,309.52x = 160,153,095.02
  5. Step 5: Solve for x
    x = 160,153,095.02/11,309.52
  6. Step 6: Final answer
    x = 14,160.91

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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.