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Finding the Fourth Proportional to 11,283.94, 15,578.94 and 7,252.57

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Solution

The fourth proportional to 11,283.94, 15,578.94 and 7,252.57 is: 10,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.94 : 15,578.94 = 7,252.57 : x
  2. Step 2: Convert to fraction form
    11,283.94/15,578.94 = 7,252.57/x
  3. Step 3: Cross multiply
    11,283.94x = 15,578.94 × 7,252.57
  4. Step 4: Simplify right side
    11,283.94x = 112,987,352.88
  5. Step 5: Solve for x
    x = 112,987,352.88/11,283.94
  6. Step 6: Final answer
    x = 10,013.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.