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Finding the Fourth Proportional to 14,797.69, 20,420.82 and 8,510.06

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Solution

The fourth proportional to 14,797.69, 20,420.82 and 8,510.06 is: 11,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.69 : 20,420.82 = 8,510.06 : x
  2. Step 2: Convert to fraction form
    14,797.69/20,420.82 = 8,510.06/x
  3. Step 3: Cross multiply
    14,797.69x = 20,420.82 × 8,510.06
  4. Step 4: Simplify right side
    14,797.69x = 173,782,454.50
  5. Step 5: Solve for x
    x = 173,782,454.50/14,797.69
  6. Step 6: Final answer
    x = 11,743.89

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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.