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Finding the Fourth Proportional to 7,693.26, 10,616.72 and 4,865.69

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Solution

The fourth proportional to 7,693.26, 10,616.72 and 4,865.69 is: 6,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.26 : 10,616.72 = 4,865.69 : x
  2. Step 2: Convert to fraction form
    7,693.26/10,616.72 = 4,865.69/x
  3. Step 3: Cross multiply
    7,693.26x = 10,616.72 × 4,865.69
  4. Step 4: Simplify right side
    7,693.26x = 51,657,590.92
  5. Step 5: Solve for x
    x = 51,657,590.92/7,693.26
  6. Step 6: Final answer
    x = 6,714.66

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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.