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Finding the Fourth Proportional to 8,546.76, 12,819.06 and 2,307.24

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Solution

The fourth proportional to 8,546.76, 12,819.06 and 2,307.24 is: 3,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.76 : 12,819.06 = 2,307.24 : x
  2. Step 2: Convert to fraction form
    8,546.76/12,819.06 = 2,307.24/x
  3. Step 3: Cross multiply
    8,546.76x = 12,819.06 × 2,307.24
  4. Step 4: Simplify right side
    8,546.76x = 29,576,647.99
  5. Step 5: Solve for x
    x = 29,576,647.99/8,546.76
  6. Step 6: Final answer
    x = 3,460.57

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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.