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Finding the Fourth Proportional to 25,097.75, 37,648.79 and 6,629.75

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Solution

The fourth proportional to 25,097.75, 37,648.79 and 6,629.75 is: 9,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.75 : 37,648.79 = 6,629.75 : x
  2. Step 2: Convert to fraction form
    25,097.75/37,648.79 = 6,629.75/x
  3. Step 3: Cross multiply
    25,097.75x = 37,648.79 × 6,629.75
  4. Step 4: Simplify right side
    25,097.75x = 249,602,032.35
  5. Step 5: Solve for x
    x = 249,602,032.35/25,097.75
  6. Step 6: Final answer
    x = 9,945.20

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1.5x scale

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.