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Finding the Fourth Proportional to 9,668.40, 13,351.08 and 7,306.44

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Solution

The fourth proportional to 9,668.40, 13,351.08 and 7,306.44 is: 10,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.40 : 13,351.08 = 7,306.44 : x
  2. Step 2: Convert to fraction form
    9,668.40/13,351.08 = 7,306.44/x
  3. Step 3: Cross multiply
    9,668.40x = 13,351.08 × 7,306.44
  4. Step 4: Simplify right side
    9,668.40x = 97,548,864.96
  5. Step 5: Solve for x
    x = 97,548,864.96/9,668.40
  6. Step 6: Final answer
    x = 10,089.45

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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.