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Finding the Fourth Proportional to 7,848.93, 11,757.48 and 3,888.24

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Solution

The fourth proportional to 7,848.93, 11,757.48 and 3,888.24 is: 5,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.93 : 11,757.48 = 3,888.24 : x
  2. Step 2: Convert to fraction form
    7,848.93/11,757.48 = 3,888.24/x
  3. Step 3: Cross multiply
    7,848.93x = 11,757.48 × 3,888.24
  4. Step 4: Simplify right side
    7,848.93x = 45,715,904.04
  5. Step 5: Solve for x
    x = 45,715,904.04/7,848.93
  6. Step 6: Final answer
    x = 5,824.48

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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.