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Finding the Fourth Proportional to 17,537.64, 26,305.74 and 9,741.48

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Solution

The fourth proportional to 17,537.64, 26,305.74 and 9,741.48 is: 14,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.64 : 26,305.74 = 9,741.48 : x
  2. Step 2: Convert to fraction form
    17,537.64/26,305.74 = 9,741.48/x
  3. Step 3: Cross multiply
    17,537.64x = 26,305.74 × 9,741.48
  4. Step 4: Simplify right side
    17,537.64x = 256,256,840.10
  5. Step 5: Solve for x
    x = 256,256,840.10/17,537.64
  6. Step 6: Final answer
    x = 14,611.82

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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.