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Finding the Fourth Proportional to 25,203.25, 37,810.53 and 7,674.46

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Solution

The fourth proportional to 25,203.25, 37,810.53 and 7,674.46 is: 11,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.25 : 37,810.53 = 7,674.46 : x
  2. Step 2: Convert to fraction form
    25,203.25/37,810.53 = 7,674.46/x
  3. Step 3: Cross multiply
    25,203.25x = 37,810.53 × 7,674.46
  4. Step 4: Simplify right side
    25,203.25x = 290,175,400.06
  5. Step 5: Solve for x
    x = 290,175,400.06/25,203.25
  6. Step 6: Final answer
    x = 11,513.41

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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.