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Finding the Fourth Proportional to 9,730.26, 14,578.92 and 7,663.68

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Solution

The fourth proportional to 9,730.26, 14,578.92 and 7,663.68 is: 11,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.26 : 14,578.92 = 7,663.68 : x
  2. Step 2: Convert to fraction form
    9,730.26/14,578.92 = 7,663.68/x
  3. Step 3: Cross multiply
    9,730.26x = 14,578.92 × 7,663.68
  4. Step 4: Simplify right side
    9,730.26x = 111,728,177.63
  5. Step 5: Solve for x
    x = 111,728,177.63/9,730.26
  6. Step 6: Final answer
    x = 11,482.55

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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.