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Finding the Fourth Proportional to 11,941.63, 16,477.63 and 7,161.48

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Solution

The fourth proportional to 11,941.63, 16,477.63 and 7,161.48 is: 9,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.63 : 16,477.63 = 7,161.48 : x
  2. Step 2: Convert to fraction form
    11,941.63/16,477.63 = 7,161.48/x
  3. Step 3: Cross multiply
    11,941.63x = 16,477.63 × 7,161.48
  4. Step 4: Simplify right side
    11,941.63x = 118,004,199.79
  5. Step 5: Solve for x
    x = 118,004,199.79/11,941.63
  6. Step 6: Final answer
    x = 9,881.75

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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.