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Finding the Fourth Proportional to 9,266.63, 13,865.06 and 6,498.70

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Solution

The fourth proportional to 9,266.63, 13,865.06 and 6,498.70 is: 9,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.63 : 13,865.06 = 6,498.70 : x
  2. Step 2: Convert to fraction form
    9,266.63/13,865.06 = 6,498.70/x
  3. Step 3: Cross multiply
    9,266.63x = 13,865.06 × 6,498.70
  4. Step 4: Simplify right side
    9,266.63x = 90,104,847.01
  5. Step 5: Solve for x
    x = 90,104,847.01/9,266.63
  6. Step 6: Final answer
    x = 9,723.59

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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.