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Finding the Fourth Proportional to 9,924.64, 13,698.16 and 6,788.32

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Solution

The fourth proportional to 9,924.64, 13,698.16 and 6,788.32 is: 9,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.64 : 13,698.16 = 6,788.32 : x
  2. Step 2: Convert to fraction form
    9,924.64/13,698.16 = 6,788.32/x
  3. Step 3: Cross multiply
    9,924.64x = 13,698.16 × 6,788.32
  4. Step 4: Simplify right side
    9,924.64x = 92,987,493.49
  5. Step 5: Solve for x
    x = 92,987,493.49/9,924.64
  6. Step 6: Final answer
    x = 9,369.36

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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.