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Finding the Fourth Proportional to 16,299.88, 24,461.54 and 6,946.50

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Solution

The fourth proportional to 16,299.88, 24,461.54 and 6,946.50 is: 10,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.88 : 24,461.54 = 6,946.50 : x
  2. Step 2: Convert to fraction form
    16,299.88/24,461.54 = 6,946.50/x
  3. Step 3: Cross multiply
    16,299.88x = 24,461.54 × 6,946.50
  4. Step 4: Simplify right side
    16,299.88x = 169,922,087.61
  5. Step 5: Solve for x
    x = 169,922,087.61/16,299.88
  6. Step 6: Final answer
    x = 10,424.74

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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.