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Finding the Fourth Proportional to 10,805.00, 14,911.07 and 6,024.80

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Solution

The fourth proportional to 10,805.00, 14,911.07 and 6,024.80 is: 8,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.00 : 14,911.07 = 6,024.80 : x
  2. Step 2: Convert to fraction form
    10,805.00/14,911.07 = 6,024.80/x
  3. Step 3: Cross multiply
    10,805.00x = 14,911.07 × 6,024.80
  4. Step 4: Simplify right side
    10,805.00x = 89,836,221.69
  5. Step 5: Solve for x
    x = 89,836,221.69/10,805.00
  6. Step 6: Final answer
    x = 8,314.32

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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.