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Finding the Fourth Proportional to 6,461.83, 8,910.77 and 6,085.13

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Solution

The fourth proportional to 6,461.83, 8,910.77 and 6,085.13 is: 8,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.83 : 8,910.77 = 6,085.13 : x
  2. Step 2: Convert to fraction form
    6,461.83/8,910.77 = 6,085.13/x
  3. Step 3: Cross multiply
    6,461.83x = 8,910.77 × 6,085.13
  4. Step 4: Simplify right side
    6,461.83x = 54,223,118.87
  5. Step 5: Solve for x
    x = 54,223,118.87/6,461.83
  6. Step 6: Final answer
    x = 8,391.29

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Half scale
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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.