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Finding the Fourth Proportional to 7,580.73, 11,367.23 and 5,689.34

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Solution

The fourth proportional to 7,580.73, 11,367.23 and 5,689.34 is: 8,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.73 : 11,367.23 = 5,689.34 : x
  2. Step 2: Convert to fraction form
    7,580.73/11,367.23 = 5,689.34/x
  3. Step 3: Cross multiply
    7,580.73x = 11,367.23 × 5,689.34
  4. Step 4: Simplify right side
    7,580.73x = 64,671,951.05
  5. Step 5: Solve for x
    x = 64,671,951.05/7,580.73
  6. Step 6: Final answer
    x = 8,531.10

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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.