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Finding the Fourth Proportional to 11,844.61, 16,344.16 and 7,064.81

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Solution

The fourth proportional to 11,844.61, 16,344.16 and 7,064.81 is: 9,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.61 : 16,344.16 = 7,064.81 : x
  2. Step 2: Convert to fraction form
    11,844.61/16,344.16 = 7,064.81/x
  3. Step 3: Cross multiply
    11,844.61x = 16,344.16 × 7,064.81
  4. Step 4: Simplify right side
    11,844.61x = 115,468,408.21
  5. Step 5: Solve for x
    x = 115,468,408.21/11,844.61
  6. Step 6: Final answer
    x = 9,748.61

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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.