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Finding the Fourth Proportional to 4,734.95, 7,097.63 and 1,957.79

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Solution

The fourth proportional to 4,734.95, 7,097.63 and 1,957.79 is: 2,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.95 : 7,097.63 = 1,957.79 : x
  2. Step 2: Convert to fraction form
    4,734.95/7,097.63 = 1,957.79/x
  3. Step 3: Cross multiply
    4,734.95x = 7,097.63 × 1,957.79
  4. Step 4: Simplify right side
    4,734.95x = 13,895,638.44
  5. Step 5: Solve for x
    x = 13,895,638.44/4,734.95
  6. Step 6: Final answer
    x = 2,934.70

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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.