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Finding the Fourth Proportional to 6,341.50, 9,512.25 and 2,237.50

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Solution

The fourth proportional to 6,341.50, 9,512.25 and 2,237.50 is: 3,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.50 : 9,512.25 = 2,237.50 : x
  2. Step 2: Convert to fraction form
    6,341.50/9,512.25 = 2,237.50/x
  3. Step 3: Cross multiply
    6,341.50x = 9,512.25 × 2,237.50
  4. Step 4: Simplify right side
    6,341.50x = 21,283,659.38
  5. Step 5: Solve for x
    x = 21,283,659.38/6,341.50
  6. Step 6: Final answer
    x = 3,356.25

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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.