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Finding the Fourth Proportional to 4,971.49, 6,871.63 and 4,369.47

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Solution

The fourth proportional to 4,971.49, 6,871.63 and 4,369.47 is: 6,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.49 : 6,871.63 = 4,369.47 : x
  2. Step 2: Convert to fraction form
    4,971.49/6,871.63 = 4,369.47/x
  3. Step 3: Cross multiply
    4,971.49x = 6,871.63 × 4,369.47
  4. Step 4: Simplify right side
    4,971.49x = 30,025,324.93
  5. Step 5: Solve for x
    x = 30,025,324.93/4,971.49
  6. Step 6: Final answer
    x = 6,039.50

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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.