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Finding the Fourth Proportional to 6,205.48, 8,563.78 and 3,411

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Solution

The fourth proportional to 6,205.48, 8,563.78 and 3,411 is: 4,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.48 : 8,563.78 = 3,411 : x
  2. Step 2: Convert to fraction form
    6,205.48/8,563.78 = 3,411/x
  3. Step 3: Cross multiply
    6,205.48x = 8,563.78 × 3,411
  4. Step 4: Simplify right side
    6,205.48x = 29,211,053.58
  5. Step 5: Solve for x
    x = 29,211,053.58/6,205.48
  6. Step 6: Final answer
    x = 4,707.30

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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.