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Finding the Fourth Proportional to 7,858.82, 10,845.46 and 4,322.30

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Solution

The fourth proportional to 7,858.82, 10,845.46 and 4,322.30 is: 5,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.82 : 10,845.46 = 4,322.30 : x
  2. Step 2: Convert to fraction form
    7,858.82/10,845.46 = 4,322.30/x
  3. Step 3: Cross multiply
    7,858.82x = 10,845.46 × 4,322.30
  4. Step 4: Simplify right side
    7,858.82x = 46,877,331.76
  5. Step 5: Solve for x
    x = 46,877,331.76/7,858.82
  6. Step 6: Final answer
    x = 5,964.93

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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.