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Finding the Fourth Proportional to 34,213.96, 51,321 and 10,840.32

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Solution

The fourth proportional to 34,213.96, 51,321 and 10,840.32 is: 16,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.96 : 51,321 = 10,840.32 : x
  2. Step 2: Convert to fraction form
    34,213.96/51,321 = 10,840.32/x
  3. Step 3: Cross multiply
    34,213.96x = 51,321 × 10,840.32
  4. Step 4: Simplify right side
    34,213.96x = 556,336,062.72
  5. Step 5: Solve for x
    x = 556,336,062.72/34,213.96
  6. Step 6: Final answer
    x = 16,260.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.