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Finding the Fourth Proportional to 7,829.68, 10,805.07 and 4,685.26

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Solution

The fourth proportional to 7,829.68, 10,805.07 and 4,685.26 is: 6,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.68 : 10,805.07 = 4,685.26 : x
  2. Step 2: Convert to fraction form
    7,829.68/10,805.07 = 4,685.26/x
  3. Step 3: Cross multiply
    7,829.68x = 10,805.07 × 4,685.26
  4. Step 4: Simplify right side
    7,829.68x = 50,624,562.27
  5. Step 5: Solve for x
    x = 50,624,562.27/7,829.68
  6. Step 6: Final answer
    x = 6,465.73

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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.