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Finding the Fourth Proportional to 7,812.80, 11,704.80 and 6,574.40

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Solution

The fourth proportional to 7,812.80, 11,704.80 and 6,574.40 is: 9,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.80 : 11,704.80 = 6,574.40 : x
  2. Step 2: Convert to fraction form
    7,812.80/11,704.80 = 6,574.40/x
  3. Step 3: Cross multiply
    7,812.80x = 11,704.80 × 6,574.40
  4. Step 4: Simplify right side
    7,812.80x = 76,952,037.12
  5. Step 5: Solve for x
    x = 76,952,037.12/7,812.80
  6. Step 6: Final answer
    x = 9,849.48

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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.