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Finding the Fourth Proportional to 25,088, 37,634.16 and 6,620

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Solution

The fourth proportional to 25,088, 37,634.16 and 6,620 is: 9,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,088 : 37,634.16 = 6,620 : x
  2. Step 2: Convert to fraction form
    25,088/37,634.16 = 6,620/x
  3. Step 3: Cross multiply
    25,088x = 37,634.16 × 6,620
  4. Step 4: Simplify right side
    25,088x = 249,138,139.20
  5. Step 5: Solve for x
    x = 249,138,139.20/25,088
  6. Step 6: Final answer
    x = 9,930.57

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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.