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Finding the Fourth Proportional to 14,564.56, 20,101.80 and 8,276.56

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Solution

The fourth proportional to 14,564.56, 20,101.80 and 8,276.56 is: 11,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.56 : 20,101.80 = 8,276.56 : x
  2. Step 2: Convert to fraction form
    14,564.56/20,101.80 = 8,276.56/x
  3. Step 3: Cross multiply
    14,564.56x = 20,101.80 × 8,276.56
  4. Step 4: Simplify right side
    14,564.56x = 166,373,753.81
  5. Step 5: Solve for x
    x = 166,373,753.81/14,564.56
  6. Step 6: Final answer
    x = 11,423.19

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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.