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Finding the Fourth Proportional to 7,812.14, 11,708.01 and 6,822.60

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Solution

The fourth proportional to 7,812.14, 11,708.01 and 6,822.60 is: 10,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.14 : 11,708.01 = 6,822.60 : x
  2. Step 2: Convert to fraction form
    7,812.14/11,708.01 = 6,822.60/x
  3. Step 3: Cross multiply
    7,812.14x = 11,708.01 × 6,822.60
  4. Step 4: Simplify right side
    7,812.14x = 79,879,069.03
  5. Step 5: Solve for x
    x = 79,879,069.03/7,812.14
  6. Step 6: Final answer
    x = 10,225.00

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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.