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Finding the Fourth Proportional to 9,321, 12,863.07 and 5,129.34

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Solution

The fourth proportional to 9,321, 12,863.07 and 5,129.34 is: 7,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321 : 12,863.07 = 5,129.34 : x
  2. Step 2: Convert to fraction form
    9,321/12,863.07 = 5,129.34/x
  3. Step 3: Cross multiply
    9,321x = 12,863.07 × 5,129.34
  4. Step 4: Simplify right side
    9,321x = 65,979,059.47
  5. Step 5: Solve for x
    x = 65,979,059.47/9,321
  6. Step 6: Final answer
    x = 7,078.54

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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.