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Finding the Fourth Proportional to 7,700.83, 10,627.09 and 4,164.03

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Solution

The fourth proportional to 7,700.83, 10,627.09 and 4,164.03 is: 5,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.83 : 10,627.09 = 4,164.03 : x
  2. Step 2: Convert to fraction form
    7,700.83/10,627.09 = 4,164.03/x
  3. Step 3: Cross multiply
    7,700.83x = 10,627.09 × 4,164.03
  4. Step 4: Simplify right side
    7,700.83x = 44,251,521.57
  5. Step 5: Solve for x
    x = 44,251,521.57/7,700.83
  6. Step 6: Final answer
    x = 5,746.33

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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.