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Finding the Fourth Proportional to 11,562.26, 15,958.06 and 6,594.26

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Solution

The fourth proportional to 11,562.26, 15,958.06 and 6,594.26 is: 9,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.26 : 15,958.06 = 6,594.26 : x
  2. Step 2: Convert to fraction form
    11,562.26/15,958.06 = 6,594.26/x
  3. Step 3: Cross multiply
    11,562.26x = 15,958.06 × 6,594.26
  4. Step 4: Simplify right side
    11,562.26x = 105,231,596.74
  5. Step 5: Solve for x
    x = 105,231,596.74/11,562.26
  6. Step 6: Final answer
    x = 9,101.30

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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.