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Finding the Fourth Proportional to 8,384.56, 12,573.84 and 2,459.80

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Solution

The fourth proportional to 8,384.56, 12,573.84 and 2,459.80 is: 3,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.56 : 12,573.84 = 2,459.80 : x
  2. Step 2: Convert to fraction form
    8,384.56/12,573.84 = 2,459.80/x
  3. Step 3: Cross multiply
    8,384.56x = 12,573.84 × 2,459.80
  4. Step 4: Simplify right side
    8,384.56x = 30,929,131.63
  5. Step 5: Solve for x
    x = 30,929,131.63/8,384.56
  6. Step 6: Final answer
    x = 3,688.82

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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.