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Finding the Fourth Proportional to 10,804.85, 14,910.64 and 6,024.73

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Solution

The fourth proportional to 10,804.85, 14,910.64 and 6,024.73 is: 8,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.85 : 14,910.64 = 6,024.73 : x
  2. Step 2: Convert to fraction form
    10,804.85/14,910.64 = 6,024.73/x
  3. Step 3: Cross multiply
    10,804.85x = 14,910.64 × 6,024.73
  4. Step 4: Simplify right side
    10,804.85x = 89,832,580.13
  5. Step 5: Solve for x
    x = 89,832,580.13/10,804.85
  6. Step 6: Final answer
    x = 8,314.10

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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.