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Finding the Fourth Proportional to 7,759.91, 10,708.65 and 4,223.10

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Solution

The fourth proportional to 7,759.91, 10,708.65 and 4,223.10 is: 5,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.91 : 10,708.65 = 4,223.10 : x
  2. Step 2: Convert to fraction form
    7,759.91/10,708.65 = 4,223.10/x
  3. Step 3: Cross multiply
    7,759.91x = 10,708.65 × 4,223.10
  4. Step 4: Simplify right side
    7,759.91x = 45,223,699.82
  5. Step 5: Solve for x
    x = 45,223,699.82/7,759.91
  6. Step 6: Final answer
    x = 5,827.87

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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.