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Finding the Fourth Proportional to 11,527.22, 15,907.74 and 6,811.94

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Solution

The fourth proportional to 11,527.22, 15,907.74 and 6,811.94 is: 9,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.22 : 15,907.74 = 6,811.94 : x
  2. Step 2: Convert to fraction form
    11,527.22/15,907.74 = 6,811.94/x
  3. Step 3: Cross multiply
    11,527.22x = 15,907.74 × 6,811.94
  4. Step 4: Simplify right side
    11,527.22x = 108,362,570.42
  5. Step 5: Solve for x
    x = 108,362,570.42/11,527.22
  6. Step 6: Final answer
    x = 9,400.58

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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.