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Finding the Fourth Proportional to 7,699.74, 10,622.07 and 4,865.82

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Solution

The fourth proportional to 7,699.74, 10,622.07 and 4,865.82 is: 6,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.74 : 10,622.07 = 4,865.82 : x
  2. Step 2: Convert to fraction form
    7,699.74/10,622.07 = 4,865.82/x
  3. Step 3: Cross multiply
    7,699.74x = 10,622.07 × 4,865.82
  4. Step 4: Simplify right side
    7,699.74x = 51,685,080.65
  5. Step 5: Solve for x
    x = 51,685,080.65/7,699.74
  6. Step 6: Final answer
    x = 6,712.57

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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.