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Finding the Fourth Proportional to 7,848.16, 11,772.23 and 2,004.77

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Solution

The fourth proportional to 7,848.16, 11,772.23 and 2,004.77 is: 3,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.16 : 11,772.23 = 2,004.77 : x
  2. Step 2: Convert to fraction form
    7,848.16/11,772.23 = 2,004.77/x
  3. Step 3: Cross multiply
    7,848.16x = 11,772.23 × 2,004.77
  4. Step 4: Simplify right side
    7,848.16x = 23,600,544.65
  5. Step 5: Solve for x
    x = 23,600,544.65/7,848.16
  6. Step 6: Final answer
    x = 3,007.15

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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.