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Finding the Fourth Proportional to 9,863.56, 13,615.56 and 6,675.30

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Solution

The fourth proportional to 9,863.56, 13,615.56 and 6,675.30 is: 9,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.56 : 13,615.56 = 6,675.30 : x
  2. Step 2: Convert to fraction form
    9,863.56/13,615.56 = 6,675.30/x
  3. Step 3: Cross multiply
    9,863.56x = 13,615.56 × 6,675.30
  4. Step 4: Simplify right side
    9,863.56x = 90,887,947.67
  5. Step 5: Solve for x
    x = 90,887,947.67/9,863.56
  6. Step 6: Final answer
    x = 9,214.52

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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.