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Finding the Fourth Proportional to 11,959.26, 16,506.62 and 7,242.63

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Solution

The fourth proportional to 11,959.26, 16,506.62 and 7,242.63 is: 9,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.26 : 16,506.62 = 7,242.63 : x
  2. Step 2: Convert to fraction form
    11,959.26/16,506.62 = 7,242.63/x
  3. Step 3: Cross multiply
    11,959.26x = 16,506.62 × 7,242.63
  4. Step 4: Simplify right side
    11,959.26x = 119,551,341.21
  5. Step 5: Solve for x
    x = 119,551,341.21/11,959.26
  6. Step 6: Final answer
    x = 9,996.55

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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.