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Finding the Fourth Proportional to 11,562.85, 15,956.78 and 6,527.28

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Solution

The fourth proportional to 11,562.85, 15,956.78 and 6,527.28 is: 9,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.85 : 15,956.78 = 6,527.28 : x
  2. Step 2: Convert to fraction form
    11,562.85/15,956.78 = 6,527.28/x
  3. Step 3: Cross multiply
    11,562.85x = 15,956.78 × 6,527.28
  4. Step 4: Simplify right side
    11,562.85x = 104,154,370.96
  5. Step 5: Solve for x
    x = 104,154,370.96/11,562.85
  6. Step 6: Final answer
    x = 9,007.67

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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.