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Finding the Fourth Proportional to 13,483.94, 20,201.27 and 9,776.98

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Solution

The fourth proportional to 13,483.94, 20,201.27 and 9,776.98 is: 14,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.94 : 20,201.27 = 9,776.98 : x
  2. Step 2: Convert to fraction form
    13,483.94/20,201.27 = 9,776.98/x
  3. Step 3: Cross multiply
    13,483.94x = 20,201.27 × 9,776.98
  4. Step 4: Simplify right side
    13,483.94x = 197,507,311.76
  5. Step 5: Solve for x
    x = 197,507,311.76/13,483.94
  6. Step 6: Final answer
    x = 14,647.60

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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.