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Finding the Fourth Proportional to 7,832.07, 11,817.95 and 7,528.32

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Solution

The fourth proportional to 7,832.07, 11,817.95 and 7,528.32 is: 11,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.07 : 11,817.95 = 7,528.32 : x
  2. Step 2: Convert to fraction form
    7,832.07/11,817.95 = 7,528.32/x
  3. Step 3: Cross multiply
    7,832.07x = 11,817.95 × 7,528.32
  4. Step 4: Simplify right side
    7,832.07x = 88,969,271.70
  5. Step 5: Solve for x
    x = 88,969,271.70/7,832.07
  6. Step 6: Final answer
    x = 11,359.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.