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Finding the Fourth Proportional to 23,927.50, 35,897.04 and 7,511.50

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Solution

The fourth proportional to 23,927.50, 35,897.04 and 7,511.50 is: 11,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927.50 : 35,897.04 = 7,511.50 : x
  2. Step 2: Convert to fraction form
    23,927.50/35,897.04 = 7,511.50/x
  3. Step 3: Cross multiply
    23,927.50x = 35,897.04 × 7,511.50
  4. Step 4: Simplify right side
    23,927.50x = 269,640,615.96
  5. Step 5: Solve for x
    x = 269,640,615.96/23,927.50
  6. Step 6: Final answer
    x = 11,269.07

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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.