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Finding the Fourth Proportional to 6,889.50, 9,532.53 and 6,007.14

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Solution

The fourth proportional to 6,889.50, 9,532.53 and 6,007.14 is: 8,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.50 : 9,532.53 = 6,007.14 : x
  2. Step 2: Convert to fraction form
    6,889.50/9,532.53 = 6,007.14/x
  3. Step 3: Cross multiply
    6,889.50x = 9,532.53 × 6,007.14
  4. Step 4: Simplify right side
    6,889.50x = 57,263,242.26
  5. Step 5: Solve for x
    x = 57,263,242.26/6,889.50
  6. Step 6: Final answer
    x = 8,311.67

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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.