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Finding the Fourth Proportional to 6,762.51, 9,332.31 and 3,778.47

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Solution

The fourth proportional to 6,762.51, 9,332.31 and 3,778.47 is: 5,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.51 : 9,332.31 = 3,778.47 : x
  2. Step 2: Convert to fraction form
    6,762.51/9,332.31 = 3,778.47/x
  3. Step 3: Cross multiply
    6,762.51x = 9,332.31 × 3,778.47
  4. Step 4: Simplify right side
    6,762.51x = 35,261,853.37
  5. Step 5: Solve for x
    x = 35,261,853.37/6,762.51
  6. Step 6: Final answer
    x = 5,214.31

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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.