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Finding the Fourth Proportional to 7,682.87, 10,603.16 and 4,700.69

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Solution

The fourth proportional to 7,682.87, 10,603.16 and 4,700.69 is: 6,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.87 : 10,603.16 = 4,700.69 : x
  2. Step 2: Convert to fraction form
    7,682.87/10,603.16 = 4,700.69/x
  3. Step 3: Cross multiply
    7,682.87x = 10,603.16 × 4,700.69
  4. Step 4: Simplify right side
    7,682.87x = 49,842,091.66
  5. Step 5: Solve for x
    x = 49,842,091.66/7,682.87
  6. Step 6: Final answer
    x = 6,487.44

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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.