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Finding the Fourth Proportional to 6,829.92, 9,431.46 and 4,316.49

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Solution

The fourth proportional to 6,829.92, 9,431.46 and 4,316.49 is: 5,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.92 : 9,431.46 = 4,316.49 : x
  2. Step 2: Convert to fraction form
    6,829.92/9,431.46 = 4,316.49/x
  3. Step 3: Cross multiply
    6,829.92x = 9,431.46 × 4,316.49
  4. Step 4: Simplify right side
    6,829.92x = 40,710,802.78
  5. Step 5: Solve for x
    x = 40,710,802.78/6,829.92
  6. Step 6: Final answer
    x = 5,960.66

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1.5x scale

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.