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Finding the Fourth Proportional to 6,536.35, 9,805.11 and 1,856.40

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Solution

The fourth proportional to 6,536.35, 9,805.11 and 1,856.40 is: 2,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.35 : 9,805.11 = 1,856.40 : x
  2. Step 2: Convert to fraction form
    6,536.35/9,805.11 = 1,856.40/x
  3. Step 3: Cross multiply
    6,536.35x = 9,805.11 × 1,856.40
  4. Step 4: Simplify right side
    6,536.35x = 18,202,196.92
  5. Step 5: Solve for x
    x = 18,202,196.92/6,536.35
  6. Step 6: Final answer
    x = 2,784.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.