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Finding the Fourth Proportional to 11,913.99, 16,451.75 and 7,445.37

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Solution

The fourth proportional to 11,913.99, 16,451.75 and 7,445.37 is: 10,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.99 : 16,451.75 = 7,445.37 : x
  2. Step 2: Convert to fraction form
    11,913.99/16,451.75 = 7,445.37/x
  3. Step 3: Cross multiply
    11,913.99x = 16,451.75 × 7,445.37
  4. Step 4: Simplify right side
    11,913.99x = 122,489,328.67
  5. Step 5: Solve for x
    x = 122,489,328.67/11,913.99
  6. Step 6: Final answer
    x = 10,281.14

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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.