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Finding the Fourth Proportional to 11,438.69, 15,787.04 and 6,592.47

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Solution

The fourth proportional to 11,438.69, 15,787.04 and 6,592.47 is: 9,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.69 : 15,787.04 = 6,592.47 : x
  2. Step 2: Convert to fraction form
    11,438.69/15,787.04 = 6,592.47/x
  3. Step 3: Cross multiply
    11,438.69x = 15,787.04 × 6,592.47
  4. Step 4: Simplify right side
    11,438.69x = 104,075,554.63
  5. Step 5: Solve for x
    x = 104,075,554.63/11,438.69
  6. Step 6: Final answer
    x = 9,098.56

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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.