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Finding the Fourth Proportional to 12,248.64, 16,896.96 and 7,525.44

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Solution

The fourth proportional to 12,248.64, 16,896.96 and 7,525.44 is: 10,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,248.64 : 16,896.96 = 7,525.44 : x
  2. Step 2: Convert to fraction form
    12,248.64/16,896.96 = 7,525.44/x
  3. Step 3: Cross multiply
    12,248.64x = 16,896.96 × 7,525.44
  4. Step 4: Simplify right side
    12,248.64x = 127,157,058.66
  5. Step 5: Solve for x
    x = 127,157,058.66/12,248.64
  6. Step 6: Final answer
    x = 10,381.32

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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.