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Finding the Fourth Proportional to 6,001.69, 9,002.53 and 1,619.15

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Solution

The fourth proportional to 6,001.69, 9,002.53 and 1,619.15 is: 2,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.69 : 9,002.53 = 1,619.15 : x
  2. Step 2: Convert to fraction form
    6,001.69/9,002.53 = 1,619.15/x
  3. Step 3: Cross multiply
    6,001.69x = 9,002.53 × 1,619.15
  4. Step 4: Simplify right side
    6,001.69x = 14,576,446.45
  5. Step 5: Solve for x
    x = 14,576,446.45/6,001.69
  6. Step 6: Final answer
    x = 2,428.72

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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.