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Finding the Fourth Proportional to 14,874.89, 20,513.75 and 9,844.20

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Solution

The fourth proportional to 14,874.89, 20,513.75 and 9,844.20 is: 13,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.89 : 20,513.75 = 9,844.20 : x
  2. Step 2: Convert to fraction form
    14,874.89/20,513.75 = 9,844.20/x
  3. Step 3: Cross multiply
    14,874.89x = 20,513.75 × 9,844.20
  4. Step 4: Simplify right side
    14,874.89x = 201,941,408.53
  5. Step 5: Solve for x
    x = 201,941,408.53/14,874.89
  6. Step 6: Final answer
    x = 13,576.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.