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Finding the Fourth Proportional to 4,848.64, 7,270.74 and 1,924.96

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Solution

The fourth proportional to 4,848.64, 7,270.74 and 1,924.96 is: 2,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.64 : 7,270.74 = 1,924.96 : x
  2. Step 2: Convert to fraction form
    4,848.64/7,270.74 = 1,924.96/x
  3. Step 3: Cross multiply
    4,848.64x = 7,270.74 × 1,924.96
  4. Step 4: Simplify right side
    4,848.64x = 13,995,883.67
  5. Step 5: Solve for x
    x = 13,995,883.67/4,848.64
  6. Step 6: Final answer
    x = 2,886.56

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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.