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Finding the Fourth Proportional to 13,698.89, 18,898.46 and 8,030.77

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Solution

The fourth proportional to 13,698.89, 18,898.46 and 8,030.77 is: 11,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.89 : 18,898.46 = 8,030.77 : x
  2. Step 2: Convert to fraction form
    13,698.89/18,898.46 = 8,030.77/x
  3. Step 3: Cross multiply
    13,698.89x = 18,898.46 × 8,030.77
  4. Step 4: Simplify right side
    13,698.89x = 151,769,128.33
  5. Step 5: Solve for x
    x = 151,769,128.33/13,698.89
  6. Step 6: Final answer
    x = 11,078.94

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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.