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Finding the Fourth Proportional to 7,657, 10,563.95 and 5,005.94

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Solution

The fourth proportional to 7,657, 10,563.95 and 5,005.94 is: 6,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 10,563.95 = 5,005.94 : x
  2. Step 2: Convert to fraction form
    7,657/10,563.95 = 5,005.94/x
  3. Step 3: Cross multiply
    7,657x = 10,563.95 × 5,005.94
  4. Step 4: Simplify right side
    7,657x = 52,882,499.86
  5. Step 5: Solve for x
    x = 52,882,499.86/7,657
  6. Step 6: Final answer
    x = 6,906.43

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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.