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Finding the Fourth Proportional to 6,203.64, 8,560.98 and 3,409.20

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Solution

The fourth proportional to 6,203.64, 8,560.98 and 3,409.20 is: 4,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.64 : 8,560.98 = 3,409.20 : x
  2. Step 2: Convert to fraction form
    6,203.64/8,560.98 = 3,409.20/x
  3. Step 3: Cross multiply
    6,203.64x = 8,560.98 × 3,409.20
  4. Step 4: Simplify right side
    6,203.64x = 29,186,093.02
  5. Step 5: Solve for x
    x = 29,186,093.02/6,203.64
  6. Step 6: Final answer
    x = 4,704.67

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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.