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Finding the Fourth Proportional to 11,785.84, 16,259.81 and 6,747.34

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Solution

The fourth proportional to 11,785.84, 16,259.81 and 6,747.34 is: 9,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.84 : 16,259.81 = 6,747.34 : x
  2. Step 2: Convert to fraction form
    11,785.84/16,259.81 = 6,747.34/x
  3. Step 3: Cross multiply
    11,785.84x = 16,259.81 × 6,747.34
  4. Step 4: Simplify right side
    11,785.84x = 109,710,442.62
  5. Step 5: Solve for x
    x = 109,710,442.62/11,785.84
  6. Step 6: Final answer
    x = 9,308.67

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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.