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Finding the Fourth Proportional to 7,804.05, 11,707.10 and 4,106.46

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Solution

The fourth proportional to 7,804.05, 11,707.10 and 4,106.46 is: 6,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.05 : 11,707.10 = 4,106.46 : x
  2. Step 2: Convert to fraction form
    7,804.05/11,707.10 = 4,106.46/x
  3. Step 3: Cross multiply
    7,804.05x = 11,707.10 × 4,106.46
  4. Step 4: Simplify right side
    7,804.05x = 48,074,717.33
  5. Step 5: Solve for x
    x = 48,074,717.33/7,804.05
  6. Step 6: Final answer
    x = 6,160.23

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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.