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Finding the Fourth Proportional to 10,709.50, 16,070.74 and 4,553.50

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Solution

The fourth proportional to 10,709.50, 16,070.74 and 4,553.50 is: 6,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.50 : 16,070.74 = 4,553.50 : x
  2. Step 2: Convert to fraction form
    10,709.50/16,070.74 = 4,553.50/x
  3. Step 3: Cross multiply
    10,709.50x = 16,070.74 × 4,553.50
  4. Step 4: Simplify right side
    10,709.50x = 73,178,114.59
  5. Step 5: Solve for x
    x = 73,178,114.59/10,709.50
  6. Step 6: Final answer
    x = 6,833.01

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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.