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Finding the Fourth Proportional to 6,762.92, 9,328.13 and 6,205.23

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Solution

The fourth proportional to 6,762.92, 9,328.13 and 6,205.23 is: 8,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.92 : 9,328.13 = 6,205.23 : x
  2. Step 2: Convert to fraction form
    6,762.92/9,328.13 = 6,205.23/x
  3. Step 3: Cross multiply
    6,762.92x = 9,328.13 × 6,205.23
  4. Step 4: Simplify right side
    6,762.92x = 57,883,184.36
  5. Step 5: Solve for x
    x = 57,883,184.36/6,762.92
  6. Step 6: Final answer
    x = 8,558.91

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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.