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Finding the Fourth Proportional to 8,401.64, 12,602.46 and 2,558.30

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Solution

The fourth proportional to 8,401.64, 12,602.46 and 2,558.30 is: 3,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.64 : 12,602.46 = 2,558.30 : x
  2. Step 2: Convert to fraction form
    8,401.64/12,602.46 = 2,558.30/x
  3. Step 3: Cross multiply
    8,401.64x = 12,602.46 × 2,558.30
  4. Step 4: Simplify right side
    8,401.64x = 32,240,810.41
  5. Step 5: Solve for x
    x = 32,240,810.41/8,401.64
  6. Step 6: Final answer
    x = 3,837.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.