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Finding the Fourth Proportional to 7,141.30, 10,699.80 and 6,096.40

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Solution

The fourth proportional to 7,141.30, 10,699.80 and 6,096.40 is: 9,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.30 : 10,699.80 = 6,096.40 : x
  2. Step 2: Convert to fraction form
    7,141.30/10,699.80 = 6,096.40/x
  3. Step 3: Cross multiply
    7,141.30x = 10,699.80 × 6,096.40
  4. Step 4: Simplify right side
    7,141.30x = 65,230,260.72
  5. Step 5: Solve for x
    x = 65,230,260.72/7,141.30
  6. Step 6: Final answer
    x = 9,134.23

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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.