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Finding the Fourth Proportional to 12,832.70, 17,709.81 and 7,527.98

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Solution

The fourth proportional to 12,832.70, 17,709.81 and 7,527.98 is: 10,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.70 : 17,709.81 = 7,527.98 : x
  2. Step 2: Convert to fraction form
    12,832.70/17,709.81 = 7,527.98/x
  3. Step 3: Cross multiply
    12,832.70x = 17,709.81 × 7,527.98
  4. Step 4: Simplify right side
    12,832.70x = 133,319,095.48
  5. Step 5: Solve for x
    x = 133,319,095.48/12,832.70
  6. Step 6: Final answer
    x = 10,389.01

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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.