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Finding the Fourth Proportional to 25,075, 37,612.50 and 6,607

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Solution

The fourth proportional to 25,075, 37,612.50 and 6,607 is: 9,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075 : 37,612.50 = 6,607 : x
  2. Step 2: Convert to fraction form
    25,075/37,612.50 = 6,607/x
  3. Step 3: Cross multiply
    25,075x = 37,612.50 × 6,607
  4. Step 4: Simplify right side
    25,075x = 248,505,787.50
  5. Step 5: Solve for x
    x = 248,505,787.50/25,075
  6. Step 6: Final answer
    x = 9,910.50

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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.