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Finding the Fourth Proportional to 9,896.51, 13,656.74 and 5,919.81

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Solution

The fourth proportional to 9,896.51, 13,656.74 and 5,919.81 is: 8,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.51 : 13,656.74 = 5,919.81 : x
  2. Step 2: Convert to fraction form
    9,896.51/13,656.74 = 5,919.81/x
  3. Step 3: Cross multiply
    9,896.51x = 13,656.74 × 5,919.81
  4. Step 4: Simplify right side
    9,896.51x = 80,845,276.42
  5. Step 5: Solve for x
    x = 80,845,276.42/9,896.51
  6. Step 6: Final answer
    x = 8,169.07

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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.