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Finding the Fourth Proportional to 8,325.85, 11,489.78 and 4,549.00

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Solution

The fourth proportional to 8,325.85, 11,489.78 and 4,549.00 is: 6,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.85 : 11,489.78 = 4,549.00 : x
  2. Step 2: Convert to fraction form
    8,325.85/11,489.78 = 4,549.00/x
  3. Step 3: Cross multiply
    8,325.85x = 11,489.78 × 4,549.00
  4. Step 4: Simplify right side
    8,325.85x = 52,266,929.03
  5. Step 5: Solve for x
    x = 52,266,929.03/8,325.85
  6. Step 6: Final answer
    x = 6,277.67

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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.