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Finding the Fourth Proportional to 24,741.40, 37,112.10 and 6,273.40

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Solution

The fourth proportional to 24,741.40, 37,112.10 and 6,273.40 is: 9,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.40 : 37,112.10 = 6,273.40 : x
  2. Step 2: Convert to fraction form
    24,741.40/37,112.10 = 6,273.40/x
  3. Step 3: Cross multiply
    24,741.40x = 37,112.10 × 6,273.40
  4. Step 4: Simplify right side
    24,741.40x = 232,819,048.14
  5. Step 5: Solve for x
    x = 232,819,048.14/24,741.40
  6. Step 6: Final answer
    x = 9,410.10

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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.