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Finding the Fourth Proportional to 7,858.35, 10,844.28 and 4,321.22

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Solution

The fourth proportional to 7,858.35, 10,844.28 and 4,321.22 is: 5,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.35 : 10,844.28 = 4,321.22 : x
  2. Step 2: Convert to fraction form
    7,858.35/10,844.28 = 4,321.22/x
  3. Step 3: Cross multiply
    7,858.35x = 10,844.28 × 4,321.22
  4. Step 4: Simplify right side
    7,858.35x = 46,860,465.40
  5. Step 5: Solve for x
    x = 46,860,465.40/7,858.35
  6. Step 6: Final answer
    x = 5,963.14

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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.