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Finding the Fourth Proportional to 7,787.58, 11,633.13 and 7,006.32

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Solution

The fourth proportional to 7,787.58, 11,633.13 and 7,006.32 is: 10,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.58 : 11,633.13 = 7,006.32 : x
  2. Step 2: Convert to fraction form
    7,787.58/11,633.13 = 7,006.32/x
  3. Step 3: Cross multiply
    7,787.58x = 11,633.13 × 7,006.32
  4. Step 4: Simplify right side
    7,787.58x = 81,505,431.38
  5. Step 5: Solve for x
    x = 81,505,431.38/7,787.58
  6. Step 6: Final answer
    x = 10,466.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.