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Finding the Fourth Proportional to 11,527.84, 15,906.96 and 6,559.84

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Solution

The fourth proportional to 11,527.84, 15,906.96 and 6,559.84 is: 9,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.84 : 15,906.96 = 6,559.84 : x
  2. Step 2: Convert to fraction form
    11,527.84/15,906.96 = 6,559.84/x
  3. Step 3: Cross multiply
    11,527.84x = 15,906.96 × 6,559.84
  4. Step 4: Simplify right side
    11,527.84x = 104,347,112.49
  5. Step 5: Solve for x
    x = 104,347,112.49/11,527.84
  6. Step 6: Final answer
    x = 9,051.75

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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.