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Finding the Fourth Proportional to 6,404.87, 9,607.51 and 2,894.23

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Solution

The fourth proportional to 6,404.87, 9,607.51 and 2,894.23 is: 4,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.87 : 9,607.51 = 2,894.23 : x
  2. Step 2: Convert to fraction form
    6,404.87/9,607.51 = 2,894.23/x
  3. Step 3: Cross multiply
    6,404.87x = 9,607.51 × 2,894.23
  4. Step 4: Simplify right side
    6,404.87x = 27,806,359.29
  5. Step 5: Solve for x
    x = 27,806,359.29/6,404.87
  6. Step 6: Final answer
    x = 4,341.44

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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.