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Finding the Fourth Proportional to 13,953.40, 20,930.10 and 9,784.60

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Solution

The fourth proportional to 13,953.40, 20,930.10 and 9,784.60 is: 14,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.40 : 20,930.10 = 9,784.60 : x
  2. Step 2: Convert to fraction form
    13,953.40/20,930.10 = 9,784.60/x
  3. Step 3: Cross multiply
    13,953.40x = 20,930.10 × 9,784.60
  4. Step 4: Simplify right side
    13,953.40x = 204,792,656.46
  5. Step 5: Solve for x
    x = 204,792,656.46/13,953.40
  6. Step 6: Final answer
    x = 14,676.90

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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.