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Finding the Fourth Proportional to 11,993.21, 16,549.64 and 6,955.82

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Solution

The fourth proportional to 11,993.21, 16,549.64 and 6,955.82 is: 9,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.21 : 16,549.64 = 6,955.82 : x
  2. Step 2: Convert to fraction form
    11,993.21/16,549.64 = 6,955.82/x
  3. Step 3: Cross multiply
    11,993.21x = 16,549.64 × 6,955.82
  4. Step 4: Simplify right side
    11,993.21x = 115,116,199.38
  5. Step 5: Solve for x
    x = 115,116,199.38/11,993.21
  6. Step 6: Final answer
    x = 9,598.45

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Double scale
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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.