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Finding the Fourth Proportional to 11,470.14, 15,826.39 and 7,497.09

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Solution

The fourth proportional to 11,470.14, 15,826.39 and 7,497.09 is: 10,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.14 : 15,826.39 = 7,497.09 : x
  2. Step 2: Convert to fraction form
    11,470.14/15,826.39 = 7,497.09/x
  3. Step 3: Cross multiply
    11,470.14x = 15,826.39 × 7,497.09
  4. Step 4: Simplify right side
    11,470.14x = 118,651,851.46
  5. Step 5: Solve for x
    x = 118,651,851.46/11,470.14
  6. Step 6: Final answer
    x = 10,344.41

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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.