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Finding the Fourth Proportional to 7,074.74, 9,764.49 and 4,684.76

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Solution

The fourth proportional to 7,074.74, 9,764.49 and 4,684.76 is: 6,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.74 : 9,764.49 = 4,684.76 : x
  2. Step 2: Convert to fraction form
    7,074.74/9,764.49 = 4,684.76/x
  3. Step 3: Cross multiply
    7,074.74x = 9,764.49 × 4,684.76
  4. Step 4: Simplify right side
    7,074.74x = 45,744,292.17
  5. Step 5: Solve for x
    x = 45,744,292.17/7,074.74
  6. Step 6: Final answer
    x = 6,465.86

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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.