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Finding the Fourth Proportional to 25,095, 37,644.68 and 6,627

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Solution

The fourth proportional to 25,095, 37,644.68 and 6,627 is: 9,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,095 : 37,644.68 = 6,627 : x
  2. Step 2: Convert to fraction form
    25,095/37,644.68 = 6,627/x
  3. Step 3: Cross multiply
    25,095x = 37,644.68 × 6,627
  4. Step 4: Simplify right side
    25,095x = 249,471,294.36
  5. Step 5: Solve for x
    x = 249,471,294.36/25,095
  6. Step 6: Final answer
    x = 9,941.08

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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.