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Finding the Fourth Proportional to 5,358.69, 8,038.10 and 1,463.10

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Solution

The fourth proportional to 5,358.69, 8,038.10 and 1,463.10 is: 2,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.69 : 8,038.10 = 1,463.10 : x
  2. Step 2: Convert to fraction form
    5,358.69/8,038.10 = 1,463.10/x
  3. Step 3: Cross multiply
    5,358.69x = 8,038.10 × 1,463.10
  4. Step 4: Simplify right side
    5,358.69x = 11,760,536.79
  5. Step 5: Solve for x
    x = 11,760,536.79/5,358.69
  6. Step 6: Final answer
    x = 2,194.67

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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.