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Finding the Fourth Proportional to 6,911.16, 9,539.45 and 5,976.99

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Solution

The fourth proportional to 6,911.16, 9,539.45 and 5,976.99 is: 8,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.16 : 9,539.45 = 5,976.99 : x
  2. Step 2: Convert to fraction form
    6,911.16/9,539.45 = 5,976.99/x
  3. Step 3: Cross multiply
    6,911.16x = 9,539.45 × 5,976.99
  4. Step 4: Simplify right side
    6,911.16x = 57,017,167.37
  5. Step 5: Solve for x
    x = 57,017,167.37/6,911.16
  6. Step 6: Final answer
    x = 8,250.01

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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.