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Finding the Fourth Proportional to 7,762.21, 10,691.44 and 5,966.25

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Solution

The fourth proportional to 7,762.21, 10,691.44 and 5,966.25 is: 8,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.21 : 10,691.44 = 5,966.25 : x
  2. Step 2: Convert to fraction form
    7,762.21/10,691.44 = 5,966.25/x
  3. Step 3: Cross multiply
    7,762.21x = 10,691.44 × 5,966.25
  4. Step 4: Simplify right side
    7,762.21x = 63,787,862.64
  5. Step 5: Solve for x
    x = 63,787,862.64/7,762.21
  6. Step 6: Final answer
    x = 8,217.75

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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.