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Finding the Fourth Proportional to 4,734.12, 7,055.02 and 4,591.60

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Solution

The fourth proportional to 4,734.12, 7,055.02 and 4,591.60 is: 6,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.12 : 7,055.02 = 4,591.60 : x
  2. Step 2: Convert to fraction form
    4,734.12/7,055.02 = 4,591.60/x
  3. Step 3: Cross multiply
    4,734.12x = 7,055.02 × 4,591.60
  4. Step 4: Simplify right side
    4,734.12x = 32,393,829.83
  5. Step 5: Solve for x
    x = 32,393,829.83/4,734.12
  6. Step 6: Final answer
    x = 6,842.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.