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Finding the Fourth Proportional to 6,007.49, 9,011.70 and 1,624.91

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Solution

The fourth proportional to 6,007.49, 9,011.70 and 1,624.91 is: 2,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.49 : 9,011.70 = 1,624.91 : x
  2. Step 2: Convert to fraction form
    6,007.49/9,011.70 = 1,624.91/x
  3. Step 3: Cross multiply
    6,007.49x = 9,011.70 × 1,624.91
  4. Step 4: Simplify right side
    6,007.49x = 14,643,184.09
  5. Step 5: Solve for x
    x = 14,643,184.09/6,007.49
  6. Step 6: Final answer
    x = 2,437.49

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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.