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Finding the Fourth Proportional to 9,773.28, 13,486.08 and 5,581.44

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Solution

The fourth proportional to 9,773.28, 13,486.08 and 5,581.44 is: 7,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.28 : 13,486.08 = 5,581.44 : x
  2. Step 2: Convert to fraction form
    9,773.28/13,486.08 = 5,581.44/x
  3. Step 3: Cross multiply
    9,773.28x = 13,486.08 × 5,581.44
  4. Step 4: Simplify right side
    9,773.28x = 75,271,746.36
  5. Step 5: Solve for x
    x = 75,271,746.36/9,773.28
  6. Step 6: Final answer
    x = 7,701.79

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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.