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Finding the Fourth Proportional to 10,059.74, 13,884.09 and 5,584.94

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Solution

The fourth proportional to 10,059.74, 13,884.09 and 5,584.94 is: 7,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.74 : 13,884.09 = 5,584.94 : x
  2. Step 2: Convert to fraction form
    10,059.74/13,884.09 = 5,584.94/x
  3. Step 3: Cross multiply
    10,059.74x = 13,884.09 × 5,584.94
  4. Step 4: Simplify right side
    10,059.74x = 77,541,719.24
  5. Step 5: Solve for x
    x = 77,541,719.24/10,059.74
  6. Step 6: Final answer
    x = 7,708.12

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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.