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Finding the Fourth Proportional to 17,271.64, 25,882.74 and 7,408.28

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Solution

The fourth proportional to 17,271.64, 25,882.74 and 7,408.28 is: 11,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.64 : 25,882.74 = 7,408.28 : x
  2. Step 2: Convert to fraction form
    17,271.64/25,882.74 = 7,408.28/x
  3. Step 3: Cross multiply
    17,271.64x = 25,882.74 × 7,408.28
  4. Step 4: Simplify right side
    17,271.64x = 191,746,585.09
  5. Step 5: Solve for x
    x = 191,746,585.09/17,271.64
  6. Step 6: Final answer
    x = 11,101.82

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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.