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Finding the Fourth Proportional to 9,467.06, 13,064 and 5,218.10

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Solution

The fourth proportional to 9,467.06, 13,064 and 5,218.10 is: 7,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.06 : 13,064 = 5,218.10 : x
  2. Step 2: Convert to fraction form
    9,467.06/13,064 = 5,218.10/x
  3. Step 3: Cross multiply
    9,467.06x = 13,064 × 5,218.10
  4. Step 4: Simplify right side
    9,467.06x = 68,169,258.40
  5. Step 5: Solve for x
    x = 68,169,258.40/9,467.06
  6. Step 6: Final answer
    x = 7,200.68

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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.