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Finding the Fourth Proportional to 7,578.76, 10,455 and 6,529

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Solution

The fourth proportional to 7,578.76, 10,455 and 6,529 is: 9,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.76 : 10,455 = 6,529 : x
  2. Step 2: Convert to fraction form
    7,578.76/10,455 = 6,529/x
  3. Step 3: Cross multiply
    7,578.76x = 10,455 × 6,529
  4. Step 4: Simplify right side
    7,578.76x = 68,260,695
  5. Step 5: Solve for x
    x = 68,260,695/7,578.76
  6. Step 6: Final answer
    x = 9,006.84

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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.