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Finding the Fourth Proportional to 11,784.70, 16,262.76 and 7,071.64

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Solution

The fourth proportional to 11,784.70, 16,262.76 and 7,071.64 is: 9,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.70 : 16,262.76 = 7,071.64 : x
  2. Step 2: Convert to fraction form
    11,784.70/16,262.76 = 7,071.64/x
  3. Step 3: Cross multiply
    11,784.70x = 16,262.76 × 7,071.64
  4. Step 4: Simplify right side
    11,784.70x = 115,004,384.13
  5. Step 5: Solve for x
    x = 115,004,384.13/11,784.70
  6. Step 6: Final answer
    x = 9,758.79

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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.