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Finding the Fourth Proportional to 7,165.10, 10,759.80 and 5,318.30

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Solution

The fourth proportional to 7,165.10, 10,759.80 and 5,318.30 is: 7,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.10 : 10,759.80 = 5,318.30 : x
  2. Step 2: Convert to fraction form
    7,165.10/10,759.80 = 5,318.30/x
  3. Step 3: Cross multiply
    7,165.10x = 10,759.80 × 5,318.30
  4. Step 4: Simplify right side
    7,165.10x = 57,223,844.34
  5. Step 5: Solve for x
    x = 57,223,844.34/7,165.10
  6. Step 6: Final answer
    x = 7,986.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.