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Finding the Fourth Proportional to 7,888.68, 11,832.62 and 2,342.07

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Solution

The fourth proportional to 7,888.68, 11,832.62 and 2,342.07 is: 3,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.68 : 11,832.62 = 2,342.07 : x
  2. Step 2: Convert to fraction form
    7,888.68/11,832.62 = 2,342.07/x
  3. Step 3: Cross multiply
    7,888.68x = 11,832.62 × 2,342.07
  4. Step 4: Simplify right side
    7,888.68x = 27,712,812.61
  5. Step 5: Solve for x
    x = 27,712,812.61/7,888.68
  6. Step 6: Final answer
    x = 3,512.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.