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Finding the Fourth Proportional to 8,192.84, 12,273.84 and 4,851.20

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Solution

The fourth proportional to 8,192.84, 12,273.84 and 4,851.20 is: 7,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.84 : 12,273.84 = 4,851.20 : x
  2. Step 2: Convert to fraction form
    8,192.84/12,273.84 = 4,851.20/x
  3. Step 3: Cross multiply
    8,192.84x = 12,273.84 × 4,851.20
  4. Step 4: Simplify right side
    8,192.84x = 59,542,852.61
  5. Step 5: Solve for x
    x = 59,542,852.61/8,192.84
  6. Step 6: Final answer
    x = 7,267.67

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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.