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Finding the Fourth Proportional to 10,698.12, 14,768.14 and 6,873.78

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Solution

The fourth proportional to 10,698.12, 14,768.14 and 6,873.78 is: 9,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.12 : 14,768.14 = 6,873.78 : x
  2. Step 2: Convert to fraction form
    10,698.12/14,768.14 = 6,873.78/x
  3. Step 3: Cross multiply
    10,698.12x = 14,768.14 × 6,873.78
  4. Step 4: Simplify right side
    10,698.12x = 101,512,945.37
  5. Step 5: Solve for x
    x = 101,512,945.37/10,698.12
  6. Step 6: Final answer
    x = 9,488.86

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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.