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Finding the Fourth Proportional to 5,346.69, 8,019.01 and 1,648.36

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Solution

The fourth proportional to 5,346.69, 8,019.01 and 1,648.36 is: 2,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.69 : 8,019.01 = 1,648.36 : x
  2. Step 2: Convert to fraction form
    5,346.69/8,019.01 = 1,648.36/x
  3. Step 3: Cross multiply
    5,346.69x = 8,019.01 × 1,648.36
  4. Step 4: Simplify right side
    5,346.69x = 13,218,215.32
  5. Step 5: Solve for x
    x = 13,218,215.32/5,346.69
  6. Step 6: Final answer
    x = 2,472.22

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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.