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Finding the Fourth Proportional to 4,933.88, 7,412.30 and 4,668.47

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Solution

The fourth proportional to 4,933.88, 7,412.30 and 4,668.47 is: 7,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.88 : 7,412.30 = 4,668.47 : x
  2. Step 2: Convert to fraction form
    4,933.88/7,412.30 = 4,668.47/x
  3. Step 3: Cross multiply
    4,933.88x = 7,412.30 × 4,668.47
  4. Step 4: Simplify right side
    4,933.88x = 34,604,100.18
  5. Step 5: Solve for x
    x = 34,604,100.18/4,933.88
  6. Step 6: Final answer
    x = 7,013.57

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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.