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Finding the Fourth Proportional to 9,546.88, 14,320.14 and 3,923.32

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Solution

The fourth proportional to 9,546.88, 14,320.14 and 3,923.32 is: 5,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.88 : 14,320.14 = 3,923.32 : x
  2. Step 2: Convert to fraction form
    9,546.88/14,320.14 = 3,923.32/x
  3. Step 3: Cross multiply
    9,546.88x = 14,320.14 × 3,923.32
  4. Step 4: Simplify right side
    9,546.88x = 56,182,491.66
  5. Step 5: Solve for x
    x = 56,182,491.66/9,546.88
  6. Step 6: Final answer
    x = 5,884.91

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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.