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Finding the Fourth Proportional to 9,668.25, 14,502.68 and 4,601.33

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Solution

The fourth proportional to 9,668.25, 14,502.68 and 4,601.33 is: 6,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.25 : 14,502.68 = 4,601.33 : x
  2. Step 2: Convert to fraction form
    9,668.25/14,502.68 = 4,601.33/x
  3. Step 3: Cross multiply
    9,668.25x = 14,502.68 × 4,601.33
  4. Step 4: Simplify right side
    9,668.25x = 66,731,521.04
  5. Step 5: Solve for x
    x = 66,731,521.04/9,668.25
  6. Step 6: Final answer
    x = 6,902.13

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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.