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Finding the Fourth Proportional to 4,002.99, 6,004.47 and 1,536.46

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Solution

The fourth proportional to 4,002.99, 6,004.47 and 1,536.46 is: 2,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.99 : 6,004.47 = 1,536.46 : x
  2. Step 2: Convert to fraction form
    4,002.99/6,004.47 = 1,536.46/x
  3. Step 3: Cross multiply
    4,002.99x = 6,004.47 × 1,536.46
  4. Step 4: Simplify right side
    4,002.99x = 9,225,627.98
  5. Step 5: Solve for x
    x = 9,225,627.98/4,002.99
  6. Step 6: Final answer
    x = 2,304.68

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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.