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Finding the Fourth Proportional to 17,534.64, 26,301.24 and 9,738.48

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Solution

The fourth proportional to 17,534.64, 26,301.24 and 9,738.48 is: 14,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.64 : 26,301.24 = 9,738.48 : x
  2. Step 2: Convert to fraction form
    17,534.64/26,301.24 = 9,738.48/x
  3. Step 3: Cross multiply
    17,534.64x = 26,301.24 × 9,738.48
  4. Step 4: Simplify right side
    17,534.64x = 256,134,099.72
  5. Step 5: Solve for x
    x = 256,134,099.72/17,534.64
  6. Step 6: Final answer
    x = 14,607.32

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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.