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Finding the Fourth Proportional to 12,312.52, 16,991.34 and 6,723.52

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Solution

The fourth proportional to 12,312.52, 16,991.34 and 6,723.52 is: 9,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.52 : 16,991.34 = 6,723.52 : x
  2. Step 2: Convert to fraction form
    12,312.52/16,991.34 = 6,723.52/x
  3. Step 3: Cross multiply
    12,312.52x = 16,991.34 × 6,723.52
  4. Step 4: Simplify right side
    12,312.52x = 114,241,614.32
  5. Step 5: Solve for x
    x = 114,241,614.32/12,312.52
  6. Step 6: Final answer
    x = 9,278.49

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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.