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Finding the Fourth Proportional to 7,804.92, 10,770.78 and 4,268.13

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Solution

The fourth proportional to 7,804.92, 10,770.78 and 4,268.13 is: 5,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.92 : 10,770.78 = 4,268.13 : x
  2. Step 2: Convert to fraction form
    7,804.92/10,770.78 = 4,268.13/x
  3. Step 3: Cross multiply
    7,804.92x = 10,770.78 × 4,268.13
  4. Step 4: Simplify right side
    7,804.92x = 45,971,089.24
  5. Step 5: Solve for x
    x = 45,971,089.24/7,804.92
  6. Step 6: Final answer
    x = 5,890.01

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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.