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Finding the Fourth Proportional to 13,651.40, 20,477.10 and 9,277.40

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Solution

The fourth proportional to 13,651.40, 20,477.10 and 9,277.40 is: 13,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.40 : 20,477.10 = 9,277.40 : x
  2. Step 2: Convert to fraction form
    13,651.40/20,477.10 = 9,277.40/x
  3. Step 3: Cross multiply
    13,651.40x = 20,477.10 × 9,277.40
  4. Step 4: Simplify right side
    13,651.40x = 189,974,247.54
  5. Step 5: Solve for x
    x = 189,974,247.54/13,651.40
  6. Step 6: Final answer
    x = 13,916.10

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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.