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Finding the Fourth Proportional to 7,707.74, 10,636.50 and 4,350.46

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Solution

The fourth proportional to 7,707.74, 10,636.50 and 4,350.46 is: 6,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.74 : 10,636.50 = 4,350.46 : x
  2. Step 2: Convert to fraction form
    7,707.74/10,636.50 = 4,350.46/x
  3. Step 3: Cross multiply
    7,707.74x = 10,636.50 × 4,350.46
  4. Step 4: Simplify right side
    7,707.74x = 46,273,667.79
  5. Step 5: Solve for x
    x = 46,273,667.79/7,707.74
  6. Step 6: Final answer
    x = 6,003.53

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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.