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Finding the Fourth Proportional to 14,915.54, 20,583.01 and 8,201.16

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Solution

The fourth proportional to 14,915.54, 20,583.01 and 8,201.16 is: 11,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.54 : 20,583.01 = 8,201.16 : x
  2. Step 2: Convert to fraction form
    14,915.54/20,583.01 = 8,201.16/x
  3. Step 3: Cross multiply
    14,915.54x = 20,583.01 × 8,201.16
  4. Step 4: Simplify right side
    14,915.54x = 168,804,558.29
  5. Step 5: Solve for x
    x = 168,804,558.29/14,915.54
  6. Step 6: Final answer
    x = 11,317.36

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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.