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Finding the Fourth Proportional to 11,466.53, 15,827.09 and 6,753.54

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Solution

The fourth proportional to 11,466.53, 15,827.09 and 6,753.54 is: 9,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.53 : 15,827.09 = 6,753.54 : x
  2. Step 2: Convert to fraction form
    11,466.53/15,827.09 = 6,753.54/x
  3. Step 3: Cross multiply
    11,466.53x = 15,827.09 × 6,753.54
  4. Step 4: Simplify right side
    11,466.53x = 106,888,851.63
  5. Step 5: Solve for x
    x = 106,888,851.63/11,466.53
  6. Step 6: Final answer
    x = 9,321.82

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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.