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Finding the Fourth Proportional to 25,064, 37,596 and 8,648

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Solution

The fourth proportional to 25,064, 37,596 and 8,648 is: 12,972

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,064 : 37,596 = 8,648 : x
  2. Step 2: Convert to fraction form
    25,064/37,596 = 8,648/x
  3. Step 3: Cross multiply
    25,064x = 37,596 × 8,648
  4. Step 4: Simplify right side
    25,064x = 325,130,208
  5. Step 5: Solve for x
    x = 325,130,208/25,064
  6. Step 6: Final answer
    x = 12,972

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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.