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Finding the Fourth Proportional to 12,593.34, 17,378.69 and 6,927.93

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Solution

The fourth proportional to 12,593.34, 17,378.69 and 6,927.93 is: 9,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.34 : 17,378.69 = 6,927.93 : x
  2. Step 2: Convert to fraction form
    12,593.34/17,378.69 = 6,927.93/x
  3. Step 3: Cross multiply
    12,593.34x = 17,378.69 × 6,927.93
  4. Step 4: Simplify right side
    12,593.34x = 120,398,313.17
  5. Step 5: Solve for x
    x = 120,398,313.17/12,593.34
  6. Step 6: Final answer
    x = 9,560.48

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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.