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Finding the Fourth Proportional to 9,757.72, 14,636.55 and 7,539.77

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Solution

The fourth proportional to 9,757.72, 14,636.55 and 7,539.77 is: 11,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.72 : 14,636.55 = 7,539.77 : x
  2. Step 2: Convert to fraction form
    9,757.72/14,636.55 = 7,539.77/x
  3. Step 3: Cross multiply
    9,757.72x = 14,636.55 × 7,539.77
  4. Step 4: Simplify right side
    9,757.72x = 110,356,285.46
  5. Step 5: Solve for x
    x = 110,356,285.46/9,757.72
  6. Step 6: Final answer
    x = 11,309.64

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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.