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Finding the Fourth Proportional to 12,507.52, 18,746.62 and 6,958.24

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Solution

The fourth proportional to 12,507.52, 18,746.62 and 6,958.24 is: 10,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.52 : 18,746.62 = 6,958.24 : x
  2. Step 2: Convert to fraction form
    12,507.52/18,746.62 = 6,958.24/x
  3. Step 3: Cross multiply
    12,507.52x = 18,746.62 × 6,958.24
  4. Step 4: Simplify right side
    12,507.52x = 130,443,481.15
  5. Step 5: Solve for x
    x = 130,443,481.15/12,507.52
  6. Step 6: Final answer
    x = 10,429.20

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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.