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Finding the Fourth Proportional to 6,518.09, 9,774.09 and 2,357.57

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Solution

The fourth proportional to 6,518.09, 9,774.09 and 2,357.57 is: 3,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.09 : 9,774.09 = 2,357.57 : x
  2. Step 2: Convert to fraction form
    6,518.09/9,774.09 = 2,357.57/x
  3. Step 3: Cross multiply
    6,518.09x = 9,774.09 × 2,357.57
  4. Step 4: Simplify right side
    6,518.09x = 23,043,052.49
  5. Step 5: Solve for x
    x = 23,043,052.49/6,518.09
  6. Step 6: Final answer
    x = 3,535.25

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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.