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Finding the Fourth Proportional to 20,594.98, 30,897.66 and 9,509.44

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Solution

The fourth proportional to 20,594.98, 30,897.66 and 9,509.44 is: 14,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.98 : 30,897.66 = 9,509.44 : x
  2. Step 2: Convert to fraction form
    20,594.98/30,897.66 = 9,509.44/x
  3. Step 3: Cross multiply
    20,594.98x = 30,897.66 × 9,509.44
  4. Step 4: Simplify right side
    20,594.98x = 293,819,443.91
  5. Step 5: Solve for x
    x = 293,819,443.91/20,594.98
  6. Step 6: Final answer
    x = 14,266.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.