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Finding the Fourth Proportional to 6,912, 9,539.28 and 4,259.34

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Solution

The fourth proportional to 6,912, 9,539.28 and 4,259.34 is: 5,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 9,539.28 = 4,259.34 : x
  2. Step 2: Convert to fraction form
    6,912/9,539.28 = 4,259.34/x
  3. Step 3: Cross multiply
    6,912x = 9,539.28 × 4,259.34
  4. Step 4: Simplify right side
    6,912x = 40,631,036.88
  5. Step 5: Solve for x
    x = 40,631,036.88/6,912
  6. Step 6: Final answer
    x = 5,878.33

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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.