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Finding the Fourth Proportional to 16,152.76, 24,229.05 and 4,307.76

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Solution

The fourth proportional to 16,152.76, 24,229.05 and 4,307.76 is: 6,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.76 : 24,229.05 = 4,307.76 : x
  2. Step 2: Convert to fraction form
    16,152.76/24,229.05 = 4,307.76/x
  3. Step 3: Cross multiply
    16,152.76x = 24,229.05 × 4,307.76
  4. Step 4: Simplify right side
    16,152.76x = 104,372,932.43
  5. Step 5: Solve for x
    x = 104,372,932.43/16,152.76
  6. Step 6: Final answer
    x = 6,461.62

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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.