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Finding the Fourth Proportional to 14,528.09, 20,052 and 9,221.91

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Solution

The fourth proportional to 14,528.09, 20,052 and 9,221.91 is: 12,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528.09 : 20,052 = 9,221.91 : x
  2. Step 2: Convert to fraction form
    14,528.09/20,052 = 9,221.91/x
  3. Step 3: Cross multiply
    14,528.09x = 20,052 × 9,221.91
  4. Step 4: Simplify right side
    14,528.09x = 184,917,739.32
  5. Step 5: Solve for x
    x = 184,917,739.32/14,528.09
  6. Step 6: Final answer
    x = 12,728.29

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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.