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Finding the Fourth Proportional to 7,698.30, 11,530.98 and 5,351.46

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Solution

The fourth proportional to 7,698.30, 11,530.98 and 5,351.46 is: 8,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.30 : 11,530.98 = 5,351.46 : x
  2. Step 2: Convert to fraction form
    7,698.30/11,530.98 = 5,351.46/x
  3. Step 3: Cross multiply
    7,698.30x = 11,530.98 × 5,351.46
  4. Step 4: Simplify right side
    7,698.30x = 61,707,578.23
  5. Step 5: Solve for x
    x = 61,707,578.23/7,698.30
  6. Step 6: Final answer
    x = 8,015.74

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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.