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Finding the Fourth Proportional to 11,014, 15,199.64 and 6,046.32

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Solution

The fourth proportional to 11,014, 15,199.64 and 6,046.32 is: 8,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014 : 15,199.64 = 6,046.32 : x
  2. Step 2: Convert to fraction form
    11,014/15,199.64 = 6,046.32/x
  3. Step 3: Cross multiply
    11,014x = 15,199.64 × 6,046.32
  4. Step 4: Simplify right side
    11,014x = 91,901,887.32
  5. Step 5: Solve for x
    x = 91,901,887.32/11,014
  6. Step 6: Final answer
    x = 8,344.10

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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.