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Finding the Fourth Proportional to 3,153.32, 4,729.74 and 962.06

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Solution

The fourth proportional to 3,153.32, 4,729.74 and 962.06 is: 1,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.32 : 4,729.74 = 962.06 : x
  2. Step 2: Convert to fraction form
    3,153.32/4,729.74 = 962.06/x
  3. Step 3: Cross multiply
    3,153.32x = 4,729.74 × 962.06
  4. Step 4: Simplify right side
    3,153.32x = 4,550,293.66
  5. Step 5: Solve for x
    x = 4,550,293.66/3,153.32
  6. Step 6: Final answer
    x = 1,443.02

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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.