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Finding the Fourth Proportional to 14,587.44, 20,133 and 8,301.84

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Solution

The fourth proportional to 14,587.44, 20,133 and 8,301.84 is: 11,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.44 : 20,133 = 8,301.84 : x
  2. Step 2: Convert to fraction form
    14,587.44/20,133 = 8,301.84/x
  3. Step 3: Cross multiply
    14,587.44x = 20,133 × 8,301.84
  4. Step 4: Simplify right side
    14,587.44x = 167,140,944.72
  5. Step 5: Solve for x
    x = 167,140,944.72/14,587.44
  6. Step 6: Final answer
    x = 11,457.87

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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.