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Finding the Fourth Proportional to 10,698.79, 14,768.05 and 7,352.68

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Solution

The fourth proportional to 10,698.79, 14,768.05 and 7,352.68 is: 10,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.79 : 14,768.05 = 7,352.68 : x
  2. Step 2: Convert to fraction form
    10,698.79/14,768.05 = 7,352.68/x
  3. Step 3: Cross multiply
    10,698.79x = 14,768.05 × 7,352.68
  4. Step 4: Simplify right side
    10,698.79x = 108,584,745.87
  5. Step 5: Solve for x
    x = 108,584,745.87/10,698.79
  6. Step 6: Final answer
    x = 10,149.25

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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.