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Finding the Fourth Proportional to 5,084.64, 7,627.47 and 1,574.49

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Solution

The fourth proportional to 5,084.64, 7,627.47 and 1,574.49 is: 2,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.64 : 7,627.47 = 1,574.49 : x
  2. Step 2: Convert to fraction form
    5,084.64/7,627.47 = 1,574.49/x
  3. Step 3: Cross multiply
    5,084.64x = 7,627.47 × 1,574.49
  4. Step 4: Simplify right side
    5,084.64x = 12,009,375.24
  5. Step 5: Solve for x
    x = 12,009,375.24/5,084.64
  6. Step 6: Final answer
    x = 2,361.89

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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.