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Finding the Fourth Proportional to 8,009.50, 12,014.25 and 2,537.50

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Solution

The fourth proportional to 8,009.50, 12,014.25 and 2,537.50 is: 3,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.50 : 12,014.25 = 2,537.50 : x
  2. Step 2: Convert to fraction form
    8,009.50/12,014.25 = 2,537.50/x
  3. Step 3: Cross multiply
    8,009.50x = 12,014.25 × 2,537.50
  4. Step 4: Simplify right side
    8,009.50x = 30,486,159.38
  5. Step 5: Solve for x
    x = 30,486,159.38/8,009.50
  6. Step 6: Final answer
    x = 3,806.25

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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.