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Finding the Fourth Proportional to 25,096.50, 37,646.91 and 6,628.50

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Solution

The fourth proportional to 25,096.50, 37,646.91 and 6,628.50 is: 9,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.50 : 37,646.91 = 6,628.50 : x
  2. Step 2: Convert to fraction form
    25,096.50/37,646.91 = 6,628.50/x
  3. Step 3: Cross multiply
    25,096.50x = 37,646.91 × 6,628.50
  4. Step 4: Simplify right side
    25,096.50x = 249,542,542.94
  5. Step 5: Solve for x
    x = 249,542,542.94/25,096.50
  6. Step 6: Final answer
    x = 9,943.32

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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.