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Finding the Fourth Proportional to 24,897.80, 37,346.70 and 9,311.78

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Solution

The fourth proportional to 24,897.80, 37,346.70 and 9,311.78 is: 13,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.80 : 37,346.70 = 9,311.78 : x
  2. Step 2: Convert to fraction form
    24,897.80/37,346.70 = 9,311.78/x
  3. Step 3: Cross multiply
    24,897.80x = 37,346.70 × 9,311.78
  4. Step 4: Simplify right side
    24,897.80x = 347,764,254.13
  5. Step 5: Solve for x
    x = 347,764,254.13/24,897.80
  6. Step 6: Final answer
    x = 13,967.67

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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.