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Finding the Fourth Proportional to 8,266.04, 11,407.02 and 5,123

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Solution

The fourth proportional to 8,266.04, 11,407.02 and 5,123 is: 7,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.04 : 11,407.02 = 5,123 : x
  2. Step 2: Convert to fraction form
    8,266.04/11,407.02 = 5,123/x
  3. Step 3: Cross multiply
    8,266.04x = 11,407.02 × 5,123
  4. Step 4: Simplify right side
    8,266.04x = 58,438,163.46
  5. Step 5: Solve for x
    x = 58,438,163.46/8,266.04
  6. Step 6: Final answer
    x = 7,069.67

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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.