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Finding the Fourth Proportional to 9,596.26, 14,369.48 and 8,218.45

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Solution

The fourth proportional to 9,596.26, 14,369.48 and 8,218.45 is: 12,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.26 : 14,369.48 = 8,218.45 : x
  2. Step 2: Convert to fraction form
    9,596.26/14,369.48 = 8,218.45/x
  3. Step 3: Cross multiply
    9,596.26x = 14,369.48 × 8,218.45
  4. Step 4: Simplify right side
    9,596.26x = 118,094,852.91
  5. Step 5: Solve for x
    x = 118,094,852.91/9,596.26
  6. Step 6: Final answer
    x = 12,306.34

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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.