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Finding the Fourth Proportional to 6,858.36, 9,465.12 and 5,737.32

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Solution

The fourth proportional to 6,858.36, 9,465.12 and 5,737.32 is: 7,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.36 : 9,465.12 = 5,737.32 : x
  2. Step 2: Convert to fraction form
    6,858.36/9,465.12 = 5,737.32/x
  3. Step 3: Cross multiply
    6,858.36x = 9,465.12 × 5,737.32
  4. Step 4: Simplify right side
    6,858.36x = 54,304,422.28
  5. Step 5: Solve for x
    x = 54,304,422.28/6,858.36
  6. Step 6: Final answer
    x = 7,917.99

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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.