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Finding the Fourth Proportional to 25,010, 37,515 and 8,594

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Solution

The fourth proportional to 25,010, 37,515 and 8,594 is: 12,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010 : 37,515 = 8,594 : x
  2. Step 2: Convert to fraction form
    25,010/37,515 = 8,594/x
  3. Step 3: Cross multiply
    25,010x = 37,515 × 8,594
  4. Step 4: Simplify right side
    25,010x = 322,403,910
  5. Step 5: Solve for x
    x = 322,403,910/25,010
  6. Step 6: Final answer
    x = 12,891

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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.