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Finding the Fourth Proportional to 15,925, 23,887.50 and 6,197

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Solution

The fourth proportional to 15,925, 23,887.50 and 6,197 is: 9,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,925 : 23,887.50 = 6,197 : x
  2. Step 2: Convert to fraction form
    15,925/23,887.50 = 6,197/x
  3. Step 3: Cross multiply
    15,925x = 23,887.50 × 6,197
  4. Step 4: Simplify right side
    15,925x = 148,030,837.50
  5. Step 5: Solve for x
    x = 148,030,837.50/15,925
  6. Step 6: Final answer
    x = 9,295.50

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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.