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Finding the Fourth Proportional to 16,042.53, 24,054.98 and 4,946.14

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Solution

The fourth proportional to 16,042.53, 24,054.98 and 4,946.14 is: 7,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.53 : 24,054.98 = 4,946.14 : x
  2. Step 2: Convert to fraction form
    16,042.53/24,054.98 = 4,946.14/x
  3. Step 3: Cross multiply
    16,042.53x = 24,054.98 × 4,946.14
  4. Step 4: Simplify right side
    16,042.53x = 118,979,251.01
  5. Step 5: Solve for x
    x = 118,979,251.01/16,042.53
  6. Step 6: Final answer
    x = 7,416.49

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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.