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Finding the Fourth Proportional to 9,586.88, 14,367.48 and 7,101.44

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Solution

The fourth proportional to 9,586.88, 14,367.48 and 7,101.44 is: 10,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.88 : 14,367.48 = 7,101.44 : x
  2. Step 2: Convert to fraction form
    9,586.88/14,367.48 = 7,101.44/x
  3. Step 3: Cross multiply
    9,586.88x = 14,367.48 × 7,101.44
  4. Step 4: Simplify right side
    9,586.88x = 102,029,797.17
  5. Step 5: Solve for x
    x = 102,029,797.17/9,586.88
  6. Step 6: Final answer
    x = 10,642.65

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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.