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Finding the Fourth Proportional to 4,669.49, 6,448.73 and 4,002.45

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Solution

The fourth proportional to 4,669.49, 6,448.73 and 4,002.45 is: 5,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.49 : 6,448.73 = 4,002.45 : x
  2. Step 2: Convert to fraction form
    4,669.49/6,448.73 = 4,002.45/x
  3. Step 3: Cross multiply
    4,669.49x = 6,448.73 × 4,002.45
  4. Step 4: Simplify right side
    4,669.49x = 25,810,699.38
  5. Step 5: Solve for x
    x = 25,810,699.38/4,669.49
  6. Step 6: Final answer
    x = 5,527.53

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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.