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Finding the Fourth Proportional to 7,284.48, 10,057.38 and 6,497.16

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Solution

The fourth proportional to 7,284.48, 10,057.38 and 6,497.16 is: 8,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.48 : 10,057.38 = 6,497.16 : x
  2. Step 2: Convert to fraction form
    7,284.48/10,057.38 = 6,497.16/x
  3. Step 3: Cross multiply
    7,284.48x = 10,057.38 × 6,497.16
  4. Step 4: Simplify right side
    7,284.48x = 65,344,407.04
  5. Step 5: Solve for x
    x = 65,344,407.04/7,284.48
  6. Step 6: Final answer
    x = 8,970.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.