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Finding the Fourth Proportional to 10,612, 14,643.24 and 5,895.68

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Solution

The fourth proportional to 10,612, 14,643.24 and 5,895.68 is: 8,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612 : 14,643.24 = 5,895.68 : x
  2. Step 2: Convert to fraction form
    10,612/14,643.24 = 5,895.68/x
  3. Step 3: Cross multiply
    10,612x = 14,643.24 × 5,895.68
  4. Step 4: Simplify right side
    10,612x = 86,331,857.20
  5. Step 5: Solve for x
    x = 86,331,857.20/10,612
  6. Step 6: Final answer
    x = 8,135.31

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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.