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Finding the Fourth Proportional to 11,762.15, 16,232.00 and 7,226.15

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Solution

The fourth proportional to 11,762.15, 16,232.00 and 7,226.15 is: 9,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.15 : 16,232.00 = 7,226.15 : x
  2. Step 2: Convert to fraction form
    11,762.15/16,232.00 = 7,226.15/x
  3. Step 3: Cross multiply
    11,762.15x = 16,232.00 × 7,226.15
  4. Step 4: Simplify right side
    11,762.15x = 117,294,749.51
  5. Step 5: Solve for x
    x = 117,294,749.51/11,762.15
  6. Step 6: Final answer
    x = 9,972.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.