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Finding the Fourth Proportional to 7,806.39, 10,760.18 and 6,101.93

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Solution

The fourth proportional to 7,806.39, 10,760.18 and 6,101.93 is: 8,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.39 : 10,760.18 = 6,101.93 : x
  2. Step 2: Convert to fraction form
    7,806.39/10,760.18 = 6,101.93/x
  3. Step 3: Cross multiply
    7,806.39x = 10,760.18 × 6,101.93
  4. Step 4: Simplify right side
    7,806.39x = 65,657,780.84
  5. Step 5: Solve for x
    x = 65,657,780.84/7,806.39
  6. Step 6: Final answer
    x = 8,410.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.