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Finding the Fourth Proportional to 10,521.54, 14,511.69 and 6,542.82

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Solution

The fourth proportional to 10,521.54, 14,511.69 and 6,542.82 is: 9,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.54 : 14,511.69 = 6,542.82 : x
  2. Step 2: Convert to fraction form
    10,521.54/14,511.69 = 6,542.82/x
  3. Step 3: Cross multiply
    10,521.54x = 14,511.69 × 6,542.82
  4. Step 4: Simplify right side
    10,521.54x = 94,947,375.57
  5. Step 5: Solve for x
    x = 94,947,375.57/10,521.54
  6. Step 6: Final answer
    x = 9,024.09

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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.