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Finding the Fourth Proportional to 9,514.65, 14,203.21 and 8,348.25

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Solution

The fourth proportional to 9,514.65, 14,203.21 and 8,348.25 is: 12,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.65 : 14,203.21 = 8,348.25 : x
  2. Step 2: Convert to fraction form
    9,514.65/14,203.21 = 8,348.25/x
  3. Step 3: Cross multiply
    9,514.65x = 14,203.21 × 8,348.25
  4. Step 4: Simplify right side
    9,514.65x = 118,571,947.88
  5. Step 5: Solve for x
    x = 118,571,947.88/9,514.65
  6. Step 6: Final answer
    x = 12,462.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.