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Finding the Fourth Proportional to 9,259.53, 13,873.12 and 7,709.49

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Solution

The fourth proportional to 9,259.53, 13,873.12 and 7,709.49 is: 11,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.53 : 13,873.12 = 7,709.49 : x
  2. Step 2: Convert to fraction form
    9,259.53/13,873.12 = 7,709.49/x
  3. Step 3: Cross multiply
    9,259.53x = 13,873.12 × 7,709.49
  4. Step 4: Simplify right side
    9,259.53x = 106,954,679.91
  5. Step 5: Solve for x
    x = 106,954,679.91/9,259.53
  6. Step 6: Final answer
    x = 11,550.77

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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.