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Finding the Fourth Proportional to 14,563.68, 20,098.48 and 8,276.64

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Solution

The fourth proportional to 14,563.68, 20,098.48 and 8,276.64 is: 11,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.68 : 20,098.48 = 8,276.64 : x
  2. Step 2: Convert to fraction form
    14,563.68/20,098.48 = 8,276.64/x
  3. Step 3: Cross multiply
    14,563.68x = 20,098.48 × 8,276.64
  4. Step 4: Simplify right side
    14,563.68x = 166,347,883.51
  5. Step 5: Solve for x
    x = 166,347,883.51/14,563.68
  6. Step 6: Final answer
    x = 11,422.11

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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.