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Finding the Fourth Proportional to 9,578.44, 14,367.66 and 5,690.44

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Solution

The fourth proportional to 9,578.44, 14,367.66 and 5,690.44 is: 8,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.44 : 14,367.66 = 5,690.44 : x
  2. Step 2: Convert to fraction form
    9,578.44/14,367.66 = 5,690.44/x
  3. Step 3: Cross multiply
    9,578.44x = 14,367.66 × 5,690.44
  4. Step 4: Simplify right side
    9,578.44x = 81,758,307.17
  5. Step 5: Solve for x
    x = 81,758,307.17/9,578.44
  6. Step 6: Final answer
    x = 8,535.66

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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.