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Finding the Fourth Proportional to 6,609.20, 9,892.20 and 5,140.40

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Solution

The fourth proportional to 6,609.20, 9,892.20 and 5,140.40 is: 7,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.20 : 9,892.20 = 5,140.40 : x
  2. Step 2: Convert to fraction form
    6,609.20/9,892.20 = 5,140.40/x
  3. Step 3: Cross multiply
    6,609.20x = 9,892.20 × 5,140.40
  4. Step 4: Simplify right side
    6,609.20x = 50,849,864.88
  5. Step 5: Solve for x
    x = 50,849,864.88/6,609.20
  6. Step 6: Final answer
    x = 7,693.80

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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.