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Finding the Fourth Proportional to 7,734.68, 10,674.04 and 4,590.88

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Solution

The fourth proportional to 7,734.68, 10,674.04 and 4,590.88 is: 6,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.68 : 10,674.04 = 4,590.88 : x
  2. Step 2: Convert to fraction form
    7,734.68/10,674.04 = 4,590.88/x
  3. Step 3: Cross multiply
    7,734.68x = 10,674.04 × 4,590.88
  4. Step 4: Simplify right side
    7,734.68x = 49,003,236.76
  5. Step 5: Solve for x
    x = 49,003,236.76/7,734.68
  6. Step 6: Final answer
    x = 6,335.52

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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.