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Finding the Fourth Proportional to 6,829.48, 9,421.54 and 4,938.08

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Solution

The fourth proportional to 6,829.48, 9,421.54 and 4,938.08 is: 6,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.48 : 9,421.54 = 4,938.08 : x
  2. Step 2: Convert to fraction form
    6,829.48/9,421.54 = 4,938.08/x
  3. Step 3: Cross multiply
    6,829.48x = 9,421.54 × 4,938.08
  4. Step 4: Simplify right side
    6,829.48x = 46,524,318.24
  5. Step 5: Solve for x
    x = 46,524,318.24/6,829.48
  6. Step 6: Final answer
    x = 6,812.28

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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.