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Finding the Fourth Proportional to 7,652.07, 11,455.80 and 5,686.41

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Solution

The fourth proportional to 7,652.07, 11,455.80 and 5,686.41 is: 8,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.07 : 11,455.80 = 5,686.41 : x
  2. Step 2: Convert to fraction form
    7,652.07/11,455.80 = 5,686.41/x
  3. Step 3: Cross multiply
    7,652.07x = 11,455.80 × 5,686.41
  4. Step 4: Simplify right side
    7,652.07x = 65,142,375.68
  5. Step 5: Solve for x
    x = 65,142,375.68/7,652.07
  6. Step 6: Final answer
    x = 8,513.05

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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.