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Finding the Fourth Proportional to 7,705.75, 10,633.86 and 4,349.65

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Solution

The fourth proportional to 7,705.75, 10,633.86 and 4,349.65 is: 6,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.75 : 10,633.86 = 4,349.65 : x
  2. Step 2: Convert to fraction form
    7,705.75/10,633.86 = 4,349.65/x
  3. Step 3: Cross multiply
    7,705.75x = 10,633.86 × 4,349.65
  4. Step 4: Simplify right side
    7,705.75x = 46,253,569.15
  5. Step 5: Solve for x
    x = 46,253,569.15/7,705.75
  6. Step 6: Final answer
    x = 6,002.47

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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.