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Finding the Fourth Proportional to 7,165.34, 9,892.68 and 5,842.16

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Solution

The fourth proportional to 7,165.34, 9,892.68 and 5,842.16 is: 8,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.34 : 9,892.68 = 5,842.16 : x
  2. Step 2: Convert to fraction form
    7,165.34/9,892.68 = 5,842.16/x
  3. Step 3: Cross multiply
    7,165.34x = 9,892.68 × 5,842.16
  4. Step 4: Simplify right side
    7,165.34x = 57,794,619.39
  5. Step 5: Solve for x
    x = 57,794,619.39/7,165.34
  6. Step 6: Final answer
    x = 8,065.86

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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.