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Finding the Fourth Proportional to 10,711, 16,066.50 and 4,555

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Solution

The fourth proportional to 10,711, 16,066.50 and 4,555 is: 6,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711 : 16,066.50 = 4,555 : x
  2. Step 2: Convert to fraction form
    10,711/16,066.50 = 4,555/x
  3. Step 3: Cross multiply
    10,711x = 16,066.50 × 4,555
  4. Step 4: Simplify right side
    10,711x = 73,182,907.50
  5. Step 5: Solve for x
    x = 73,182,907.50/10,711
  6. Step 6: Final answer
    x = 6,832.50

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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.