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Finding the Fourth Proportional to 10,745.52, 14,830.92 and 6,029.52

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Solution

The fourth proportional to 10,745.52, 14,830.92 and 6,029.52 is: 8,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.52 : 14,830.92 = 6,029.52 : x
  2. Step 2: Convert to fraction form
    10,745.52/14,830.92 = 6,029.52/x
  3. Step 3: Cross multiply
    10,745.52x = 14,830.92 × 6,029.52
  4. Step 4: Simplify right side
    10,745.52x = 89,423,328.76
  5. Step 5: Solve for x
    x = 89,423,328.76/10,745.52
  6. Step 6: Final answer
    x = 8,321.92

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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.