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Finding the Fourth Proportional to 7,697.86, 10,617 and 5,573.71

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Solution

The fourth proportional to 7,697.86, 10,617 and 5,573.71 is: 7,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.86 : 10,617 = 5,573.71 : x
  2. Step 2: Convert to fraction form
    7,697.86/10,617 = 5,573.71/x
  3. Step 3: Cross multiply
    7,697.86x = 10,617 × 5,573.71
  4. Step 4: Simplify right side
    7,697.86x = 59,176,025.99
  5. Step 5: Solve for x
    x = 59,176,025.99/7,697.86
  6. Step 6: Final answer
    x = 7,687.34

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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.