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Finding the Fourth Proportional to 8,776.98, 13,165.50 and 2,537.50

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Solution

The fourth proportional to 8,776.98, 13,165.50 and 2,537.50 is: 3,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776.98 : 13,165.50 = 2,537.50 : x
  2. Step 2: Convert to fraction form
    8,776.98/13,165.50 = 2,537.50/x
  3. Step 3: Cross multiply
    8,776.98x = 13,165.50 × 2,537.50
  4. Step 4: Simplify right side
    8,776.98x = 33,407,443.56
  5. Step 5: Solve for x
    x = 33,407,443.56/8,776.98
  6. Step 6: Final answer
    x = 3,806.26

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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.