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Finding the Fourth Proportional to 8,172.59, 12,256.45 and 2,977.25

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Solution

The fourth proportional to 8,172.59, 12,256.45 and 2,977.25 is: 4,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.59 : 12,256.45 = 2,977.25 : x
  2. Step 2: Convert to fraction form
    8,172.59/12,256.45 = 2,977.25/x
  3. Step 3: Cross multiply
    8,172.59x = 12,256.45 × 2,977.25
  4. Step 4: Simplify right side
    8,172.59x = 36,490,515.76
  5. Step 5: Solve for x
    x = 36,490,515.76/8,172.59
  6. Step 6: Final answer
    x = 4,464.99

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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.