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Finding the Fourth Proportional to 10,059.26, 13,840.98 and 8,260.16

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Solution

The fourth proportional to 10,059.26, 13,840.98 and 8,260.16 is: 11,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.26 : 13,840.98 = 8,260.16 : x
  2. Step 2: Convert to fraction form
    10,059.26/13,840.98 = 8,260.16/x
  3. Step 3: Cross multiply
    10,059.26x = 13,840.98 × 8,260.16
  4. Step 4: Simplify right side
    10,059.26x = 114,328,709.36
  5. Step 5: Solve for x
    x = 114,328,709.36/10,059.26
  6. Step 6: Final answer
    x = 11,365.52

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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.