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Finding the Fourth Proportional to 9,200.59, 12,680.40 and 7,511.11

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Solution

The fourth proportional to 9,200.59, 12,680.40 and 7,511.11 is: 10,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.59 : 12,680.40 = 7,511.11 : x
  2. Step 2: Convert to fraction form
    9,200.59/12,680.40 = 7,511.11/x
  3. Step 3: Cross multiply
    9,200.59x = 12,680.40 × 7,511.11
  4. Step 4: Simplify right side
    9,200.59x = 95,243,879.24
  5. Step 5: Solve for x
    x = 95,243,879.24/9,200.59
  6. Step 6: Final answer
    x = 10,351.93

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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.