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Finding the Fourth Proportional to 14,903, 20,566.68 and 8,189.24

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Solution

The fourth proportional to 14,903, 20,566.68 and 8,189.24 is: 11,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903 : 20,566.68 = 8,189.24 : x
  2. Step 2: Convert to fraction form
    14,903/20,566.68 = 8,189.24/x
  3. Step 3: Cross multiply
    14,903x = 20,566.68 × 8,189.24
  4. Step 4: Simplify right side
    14,903x = 168,425,478.52
  5. Step 5: Solve for x
    x = 168,425,478.52/14,903
  6. Step 6: Final answer
    x = 11,301.45

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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.