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Finding the Fourth Proportional to 11,507, 15,883.96 and 6,728.48

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Solution

The fourth proportional to 11,507, 15,883.96 and 6,728.48 is: 9,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507 : 15,883.96 = 6,728.48 : x
  2. Step 2: Convert to fraction form
    11,507/15,883.96 = 6,728.48/x
  3. Step 3: Cross multiply
    11,507x = 15,883.96 × 6,728.48
  4. Step 4: Simplify right side
    11,507x = 106,874,907.18
  5. Step 5: Solve for x
    x = 106,874,907.18/11,507
  6. Step 6: Final answer
    x = 9,287.82

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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.