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Finding the Fourth Proportional to 7,086.34, 9,774.14 and 6,016.75

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Solution

The fourth proportional to 7,086.34, 9,774.14 and 6,016.75 is: 8,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.34 : 9,774.14 = 6,016.75 : x
  2. Step 2: Convert to fraction form
    7,086.34/9,774.14 = 6,016.75/x
  3. Step 3: Cross multiply
    7,086.34x = 9,774.14 × 6,016.75
  4. Step 4: Simplify right side
    7,086.34x = 58,808,502.33
  5. Step 5: Solve for x
    x = 58,808,502.33/7,086.34
  6. Step 6: Final answer
    x = 8,298.86

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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.