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Finding the Fourth Proportional to 7,825.96, 11,737.68 and 2,894.47

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Solution

The fourth proportional to 7,825.96, 11,737.68 and 2,894.47 is: 4,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.96 : 11,737.68 = 2,894.47 : x
  2. Step 2: Convert to fraction form
    7,825.96/11,737.68 = 2,894.47/x
  3. Step 3: Cross multiply
    7,825.96x = 11,737.68 × 2,894.47
  4. Step 4: Simplify right side
    7,825.96x = 33,974,362.63
  5. Step 5: Solve for x
    x = 33,974,362.63/7,825.96
  6. Step 6: Final answer
    x = 4,341.24

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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.