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Finding the Fourth Proportional to 14,597.13, 20,144.06 and 8,309.50

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Solution

The fourth proportional to 14,597.13, 20,144.06 and 8,309.50 is: 11,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.13 : 20,144.06 = 8,309.50 : x
  2. Step 2: Convert to fraction form
    14,597.13/20,144.06 = 8,309.50/x
  3. Step 3: Cross multiply
    14,597.13x = 20,144.06 × 8,309.50
  4. Step 4: Simplify right side
    14,597.13x = 167,387,066.57
  5. Step 5: Solve for x
    x = 167,387,066.57/14,597.13
  6. Step 6: Final answer
    x = 11,467.12

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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.