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Finding the Fourth Proportional to 7,732.51, 11,606.96 and 6,848.77

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Solution

The fourth proportional to 7,732.51, 11,606.96 and 6,848.77 is: 10,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.51 : 11,606.96 = 6,848.77 : x
  2. Step 2: Convert to fraction form
    7,732.51/11,606.96 = 6,848.77/x
  3. Step 3: Cross multiply
    7,732.51x = 11,606.96 × 6,848.77
  4. Step 4: Simplify right side
    7,732.51x = 79,493,475.89
  5. Step 5: Solve for x
    x = 79,493,475.89/7,732.51
  6. Step 6: Final answer
    x = 10,280.43

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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.