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Finding the Fourth Proportional to 15,873.09, 23,813.09 and 4,778.93

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Solution

The fourth proportional to 15,873.09, 23,813.09 and 4,778.93 is: 7,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.09 : 23,813.09 = 4,778.93 : x
  2. Step 2: Convert to fraction form
    15,873.09/23,813.09 = 4,778.93/x
  3. Step 3: Cross multiply
    15,873.09x = 23,813.09 × 4,778.93
  4. Step 4: Simplify right side
    15,873.09x = 113,801,090.19
  5. Step 5: Solve for x
    x = 113,801,090.19/15,873.09
  6. Step 6: Final answer
    x = 7,169.44

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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.