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Finding the Fourth Proportional to 3,293.58, 4,941.12 and 953.61

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Solution

The fourth proportional to 3,293.58, 4,941.12 and 953.61 is: 1,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.58 : 4,941.12 = 953.61 : x
  2. Step 2: Convert to fraction form
    3,293.58/4,941.12 = 953.61/x
  3. Step 3: Cross multiply
    3,293.58x = 4,941.12 × 953.61
  4. Step 4: Simplify right side
    3,293.58x = 4,711,901.44
  5. Step 5: Solve for x
    x = 4,711,901.44/3,293.58
  6. Step 6: Final answer
    x = 1,430.63

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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.