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Finding the Fourth Proportional to 24,853.74, 37,287.09 and 9,271.50

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Solution

The fourth proportional to 24,853.74, 37,287.09 and 9,271.50 is: 13,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.74 : 37,287.09 = 9,271.50 : x
  2. Step 2: Convert to fraction form
    24,853.74/37,287.09 = 9,271.50/x
  3. Step 3: Cross multiply
    24,853.74x = 37,287.09 × 9,271.50
  4. Step 4: Simplify right side
    24,853.74x = 345,707,254.94
  5. Step 5: Solve for x
    x = 345,707,254.94/24,853.74
  6. Step 6: Final answer
    x = 13,909.67

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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.