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Finding the Fourth Proportional to 9,618.51, 13,263.08 and 6,255.09

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Solution

The fourth proportional to 9,618.51, 13,263.08 and 6,255.09 is: 8,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.51 : 13,263.08 = 6,255.09 : x
  2. Step 2: Convert to fraction form
    9,618.51/13,263.08 = 6,255.09/x
  3. Step 3: Cross multiply
    9,618.51x = 13,263.08 × 6,255.09
  4. Step 4: Simplify right side
    9,618.51x = 82,961,759.08
  5. Step 5: Solve for x
    x = 82,961,759.08/9,618.51
  6. Step 6: Final answer
    x = 8,625.22

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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.