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Finding the Fourth Proportional to 23,311.75, 34,971.06 and 7,511.50

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Solution

The fourth proportional to 23,311.75, 34,971.06 and 7,511.50 is: 11,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.75 : 34,971.06 = 7,511.50 : x
  2. Step 2: Convert to fraction form
    23,311.75/34,971.06 = 7,511.50/x
  3. Step 3: Cross multiply
    23,311.75x = 34,971.06 × 7,511.50
  4. Step 4: Simplify right side
    23,311.75x = 262,685,117.19
  5. Step 5: Solve for x
    x = 262,685,117.19/23,311.75
  6. Step 6: Final answer
    x = 11,268.36

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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.