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Finding the Fourth Proportional to 9,777.26, 14,654.54 and 7,578.92

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Solution

The fourth proportional to 9,777.26, 14,654.54 and 7,578.92 is: 11,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.26 : 14,654.54 = 7,578.92 : x
  2. Step 2: Convert to fraction form
    9,777.26/14,654.54 = 7,578.92/x
  3. Step 3: Cross multiply
    9,777.26x = 14,654.54 × 7,578.92
  4. Step 4: Simplify right side
    9,777.26x = 111,065,586.30
  5. Step 5: Solve for x
    x = 111,065,586.30/9,777.26
  6. Step 6: Final answer
    x = 11,359.58

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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.