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Finding the Fourth Proportional to 24,697.41, 37,049.76 and 7,164.96

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Solution

The fourth proportional to 24,697.41, 37,049.76 and 7,164.96 is: 10,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.41 : 37,049.76 = 7,164.96 : x
  2. Step 2: Convert to fraction form
    24,697.41/37,049.76 = 7,164.96/x
  3. Step 3: Cross multiply
    24,697.41x = 37,049.76 × 7,164.96
  4. Step 4: Simplify right side
    24,697.41x = 265,460,048.41
  5. Step 5: Solve for x
    x = 265,460,048.41/24,697.41
  6. Step 6: Final answer
    x = 10,748.50

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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.