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Finding the Fourth Proportional to 6,401.76, 8,834.13 and 3,569.44

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Solution

The fourth proportional to 6,401.76, 8,834.13 and 3,569.44 is: 4,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.76 : 8,834.13 = 3,569.44 : x
  2. Step 2: Convert to fraction form
    6,401.76/8,834.13 = 3,569.44/x
  3. Step 3: Cross multiply
    6,401.76x = 8,834.13 × 3,569.44
  4. Step 4: Simplify right side
    6,401.76x = 31,532,896.99
  5. Step 5: Solve for x
    x = 31,532,896.99/6,401.76
  6. Step 6: Final answer
    x = 4,925.66

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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.