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Finding the Fourth Proportional to 7,706.96, 10,635.62 and 4,349.78

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Solution

The fourth proportional to 7,706.96, 10,635.62 and 4,349.78 is: 6,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.96 : 10,635.62 = 4,349.78 : x
  2. Step 2: Convert to fraction form
    7,706.96/10,635.62 = 4,349.78/x
  3. Step 3: Cross multiply
    7,706.96x = 10,635.62 × 4,349.78
  4. Step 4: Simplify right side
    7,706.96x = 46,262,607.16
  5. Step 5: Solve for x
    x = 46,262,607.16/7,706.96
  6. Step 6: Final answer
    x = 6,002.70

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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.