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Finding the Fourth Proportional to 16,298.40, 24,447.60 and 8,506.20

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Solution

The fourth proportional to 16,298.40, 24,447.60 and 8,506.20 is: 12,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.40 : 24,447.60 = 8,506.20 : x
  2. Step 2: Convert to fraction form
    16,298.40/24,447.60 = 8,506.20/x
  3. Step 3: Cross multiply
    16,298.40x = 24,447.60 × 8,506.20
  4. Step 4: Simplify right side
    16,298.40x = 207,956,175.12
  5. Step 5: Solve for x
    x = 207,956,175.12/16,298.40
  6. Step 6: Final answer
    x = 12,759.30

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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.