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Finding the Fourth Proportional to 5,461.88, 8,192.12 and 1,763.72

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Solution

The fourth proportional to 5,461.88, 8,192.12 and 1,763.72 is: 2,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.88 : 8,192.12 = 1,763.72 : x
  2. Step 2: Convert to fraction form
    5,461.88/8,192.12 = 1,763.72/x
  3. Step 3: Cross multiply
    5,461.88x = 8,192.12 × 1,763.72
  4. Step 4: Simplify right side
    5,461.88x = 14,448,586.83
  5. Step 5: Solve for x
    x = 14,448,586.83/5,461.88
  6. Step 6: Final answer
    x = 2,645.35

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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.