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Finding the Fourth Proportional to 8,302.68, 12,455.84 and 2,459.74

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Solution

The fourth proportional to 8,302.68, 12,455.84 and 2,459.74 is: 3,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.68 : 12,455.84 = 2,459.74 : x
  2. Step 2: Convert to fraction form
    8,302.68/12,455.84 = 2,459.74/x
  3. Step 3: Cross multiply
    8,302.68x = 12,455.84 × 2,459.74
  4. Step 4: Simplify right side
    8,302.68x = 30,638,115.58
  5. Step 5: Solve for x
    x = 30,638,115.58/8,302.68
  6. Step 6: Final answer
    x = 3,690.15

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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.