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Finding the Fourth Proportional to 8,493.76, 11,722.08 and 4,717.30

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Solution

The fourth proportional to 8,493.76, 11,722.08 and 4,717.30 is: 6,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.76 : 11,722.08 = 4,717.30 : x
  2. Step 2: Convert to fraction form
    8,493.76/11,722.08 = 4,717.30/x
  3. Step 3: Cross multiply
    8,493.76x = 11,722.08 × 4,717.30
  4. Step 4: Simplify right side
    8,493.76x = 55,296,567.98
  5. Step 5: Solve for x
    x = 55,296,567.98/8,493.76
  6. Step 6: Final answer
    x = 6,510.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.