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Finding the Fourth Proportional to 12,741.40, 19,112.10 and 9,825.40

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Solution

The fourth proportional to 12,741.40, 19,112.10 and 9,825.40 is: 14,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.40 : 19,112.10 = 9,825.40 : x
  2. Step 2: Convert to fraction form
    12,741.40/19,112.10 = 9,825.40/x
  3. Step 3: Cross multiply
    12,741.40x = 19,112.10 × 9,825.40
  4. Step 4: Simplify right side
    12,741.40x = 187,784,027.34
  5. Step 5: Solve for x
    x = 187,784,027.34/12,741.40
  6. Step 6: Final answer
    x = 14,738.10

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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.