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Finding the Fourth Proportional to 7,678.59, 10,596.18 and 4,694.55

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Solution

The fourth proportional to 7,678.59, 10,596.18 and 4,694.55 is: 6,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.59 : 10,596.18 = 4,694.55 : x
  2. Step 2: Convert to fraction form
    7,678.59/10,596.18 = 4,694.55/x
  3. Step 3: Cross multiply
    7,678.59x = 10,596.18 × 4,694.55
  4. Step 4: Simplify right side
    7,678.59x = 49,744,296.82
  5. Step 5: Solve for x
    x = 49,744,296.82/7,678.59
  6. Step 6: Final answer
    x = 6,478.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.