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Finding the Fourth Proportional to 9,584.96, 13,228.80 and 8,012.48

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Solution

The fourth proportional to 9,584.96, 13,228.80 and 8,012.48 is: 11,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.96 : 13,228.80 = 8,012.48 : x
  2. Step 2: Convert to fraction form
    9,584.96/13,228.80 = 8,012.48/x
  3. Step 3: Cross multiply
    9,584.96x = 13,228.80 × 8,012.48
  4. Step 4: Simplify right side
    9,584.96x = 105,995,495.42
  5. Step 5: Solve for x
    x = 105,995,495.42/9,584.96
  6. Step 6: Final answer
    x = 11,058.52

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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.