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Finding the Fourth Proportional to 12,700.59, 17,527.44 and 7,664.73

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Solution

The fourth proportional to 12,700.59, 17,527.44 and 7,664.73 is: 10,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.59 : 17,527.44 = 7,664.73 : x
  2. Step 2: Convert to fraction form
    12,700.59/17,527.44 = 7,664.73/x
  3. Step 3: Cross multiply
    12,700.59x = 17,527.44 × 7,664.73
  4. Step 4: Simplify right side
    12,700.59x = 134,343,095.19
  5. Step 5: Solve for x
    x = 134,343,095.19/12,700.59
  6. Step 6: Final answer
    x = 10,577.71

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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.