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Finding the Fourth Proportional to 5,837.67, 8,756.48 and 1,455.12

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Solution

The fourth proportional to 5,837.67, 8,756.48 and 1,455.12 is: 2,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.67 : 8,756.48 = 1,455.12 : x
  2. Step 2: Convert to fraction form
    5,837.67/8,756.48 = 1,455.12/x
  3. Step 3: Cross multiply
    5,837.67x = 8,756.48 × 1,455.12
  4. Step 4: Simplify right side
    5,837.67x = 12,741,729.18
  5. Step 5: Solve for x
    x = 12,741,729.18/5,837.67
  6. Step 6: Final answer
    x = 2,182.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.