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Finding the Fourth Proportional to 24,600.49, 36,918.64 and 9,813.63

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Solution

The fourth proportional to 24,600.49, 36,918.64 and 9,813.63 is: 14,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.49 : 36,918.64 = 9,813.63 : x
  2. Step 2: Convert to fraction form
    24,600.49/36,918.64 = 9,813.63/x
  3. Step 3: Cross multiply
    24,600.49x = 36,918.64 × 9,813.63
  4. Step 4: Simplify right side
    24,600.49x = 362,306,023.78
  5. Step 5: Solve for x
    x = 362,306,023.78/24,600.49
  6. Step 6: Final answer
    x = 14,727.60

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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.