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Finding the Fourth Proportional to 6,491.52, 9,740.16 and 4,824

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Solution

The fourth proportional to 6,491.52, 9,740.16 and 4,824 is: 7,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.52 : 9,740.16 = 4,824 : x
  2. Step 2: Convert to fraction form
    6,491.52/9,740.16 = 4,824/x
  3. Step 3: Cross multiply
    6,491.52x = 9,740.16 × 4,824
  4. Step 4: Simplify right side
    6,491.52x = 46,986,531.84
  5. Step 5: Solve for x
    x = 46,986,531.84/6,491.52
  6. Step 6: Final answer
    x = 7,238.14

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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.