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Finding the Fourth Proportional to 16,305.76, 24,459.48 and 6,310.48

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Solution

The fourth proportional to 16,305.76, 24,459.48 and 6,310.48 is: 9,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.76 : 24,459.48 = 6,310.48 : x
  2. Step 2: Convert to fraction form
    16,305.76/24,459.48 = 6,310.48/x
  3. Step 3: Cross multiply
    16,305.76x = 24,459.48 × 6,310.48
  4. Step 4: Simplify right side
    16,305.76x = 154,351,059.35
  5. Step 5: Solve for x
    x = 154,351,059.35/16,305.76
  6. Step 6: Final answer
    x = 9,466.05

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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.