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Finding the Fourth Proportional to 7,866.57, 10,858.16 and 4,682.10

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Solution

The fourth proportional to 7,866.57, 10,858.16 and 4,682.10 is: 6,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.57 : 10,858.16 = 4,682.10 : x
  2. Step 2: Convert to fraction form
    7,866.57/10,858.16 = 4,682.10/x
  3. Step 3: Cross multiply
    7,866.57x = 10,858.16 × 4,682.10
  4. Step 4: Simplify right side
    7,866.57x = 50,839,002.64
  5. Step 5: Solve for x
    x = 50,839,002.64/7,866.57
  6. Step 6: Final answer
    x = 6,462.66

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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.