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Finding the Fourth Proportional to 9,897.90, 14,842.21 and 5,739.09

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Solution

The fourth proportional to 9,897.90, 14,842.21 and 5,739.09 is: 8,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.90 : 14,842.21 = 5,739.09 : x
  2. Step 2: Convert to fraction form
    9,897.90/14,842.21 = 5,739.09/x
  3. Step 3: Cross multiply
    9,897.90x = 14,842.21 × 5,739.09
  4. Step 4: Simplify right side
    9,897.90x = 85,180,778.99
  5. Step 5: Solve for x
    x = 85,180,778.99/9,897.90
  6. Step 6: Final answer
    x = 8,605.94

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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.