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Finding the Fourth Proportional to 9,782.87, 13,504.92 and 6,558.15

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Solution

The fourth proportional to 9,782.87, 13,504.92 and 6,558.15 is: 9,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.87 : 13,504.92 = 6,558.15 : x
  2. Step 2: Convert to fraction form
    9,782.87/13,504.92 = 6,558.15/x
  3. Step 3: Cross multiply
    9,782.87x = 13,504.92 × 6,558.15
  4. Step 4: Simplify right side
    9,782.87x = 88,567,291.10
  5. Step 5: Solve for x
    x = 88,567,291.10/9,782.87
  6. Step 6: Final answer
    x = 9,053.31

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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.