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Finding the Fourth Proportional to 5,149.33, 7,762.07 and 4,848.32

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Solution

The fourth proportional to 5,149.33, 7,762.07 and 4,848.32 is: 7,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.33 : 7,762.07 = 4,848.32 : x
  2. Step 2: Convert to fraction form
    5,149.33/7,762.07 = 4,848.32/x
  3. Step 3: Cross multiply
    5,149.33x = 7,762.07 × 4,848.32
  4. Step 4: Simplify right side
    5,149.33x = 37,632,999.22
  5. Step 5: Solve for x
    x = 37,632,999.22/5,149.33
  6. Step 6: Final answer
    x = 7,308.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.