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Finding the Fourth Proportional to 11,756.63, 16,224.15 and 7,043.64

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Solution

The fourth proportional to 11,756.63, 16,224.15 and 7,043.64 is: 9,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.63 : 16,224.15 = 7,043.64 : x
  2. Step 2: Convert to fraction form
    11,756.63/16,224.15 = 7,043.64/x
  3. Step 3: Cross multiply
    11,756.63x = 16,224.15 × 7,043.64
  4. Step 4: Simplify right side
    11,756.63x = 114,277,071.91
  5. Step 5: Solve for x
    x = 114,277,071.91/11,756.63
  6. Step 6: Final answer
    x = 9,720.23

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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.