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Finding the Fourth Proportional to 7,170.76, 9,895.80 and 4,027.96

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Solution

The fourth proportional to 7,170.76, 9,895.80 and 4,027.96 is: 5,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.76 : 9,895.80 = 4,027.96 : x
  2. Step 2: Convert to fraction form
    7,170.76/9,895.80 = 4,027.96/x
  3. Step 3: Cross multiply
    7,170.76x = 9,895.80 × 4,027.96
  4. Step 4: Simplify right side
    7,170.76x = 39,859,886.57
  5. Step 5: Solve for x
    x = 39,859,886.57/7,170.76
  6. Step 6: Final answer
    x = 5,558.67

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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.