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Finding the Fourth Proportional to 7,841.80, 10,822.04 and 4,305.34

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Solution

The fourth proportional to 7,841.80, 10,822.04 and 4,305.34 is: 5,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.80 : 10,822.04 = 4,305.34 : x
  2. Step 2: Convert to fraction form
    7,841.80/10,822.04 = 4,305.34/x
  3. Step 3: Cross multiply
    7,841.80x = 10,822.04 × 4,305.34
  4. Step 4: Simplify right side
    7,841.80x = 46,592,561.69
  5. Step 5: Solve for x
    x = 46,592,561.69/7,841.80
  6. Step 6: Final answer
    x = 5,941.56

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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.