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Finding the Fourth Proportional to 7,633.11, 11,432.75 and 5,865.10

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Solution

The fourth proportional to 7,633.11, 11,432.75 and 5,865.10 is: 8,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.11 : 11,432.75 = 5,865.10 : x
  2. Step 2: Convert to fraction form
    7,633.11/11,432.75 = 5,865.10/x
  3. Step 3: Cross multiply
    7,633.11x = 11,432.75 × 5,865.10
  4. Step 4: Simplify right side
    7,633.11x = 67,054,164.12
  5. Step 5: Solve for x
    x = 67,054,164.12/7,633.11
  6. Step 6: Final answer
    x = 8,784.65

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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.