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Finding the Fourth Proportional to 10,011, 15,016.50 and 4,539

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Solution

The fourth proportional to 10,011, 15,016.50 and 4,539 is: 6,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011 : 15,016.50 = 4,539 : x
  2. Step 2: Convert to fraction form
    10,011/15,016.50 = 4,539/x
  3. Step 3: Cross multiply
    10,011x = 15,016.50 × 4,539
  4. Step 4: Simplify right side
    10,011x = 68,159,893.50
  5. Step 5: Solve for x
    x = 68,159,893.50/10,011
  6. Step 6: Final answer
    x = 6,808.50

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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.