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Finding the Fourth Proportional to 10,745.68, 14,828.98 and 6,029.86

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Solution

The fourth proportional to 10,745.68, 14,828.98 and 6,029.86 is: 8,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.68 : 14,828.98 = 6,029.86 : x
  2. Step 2: Convert to fraction form
    10,745.68/14,828.98 = 6,029.86/x
  3. Step 3: Cross multiply
    10,745.68x = 14,828.98 × 6,029.86
  4. Step 4: Simplify right side
    10,745.68x = 89,416,673.34
  5. Step 5: Solve for x
    x = 89,416,673.34/10,745.68
  6. Step 6: Final answer
    x = 8,321.17

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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.