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Finding the Fourth Proportional to 7,655.42, 11,472.17 and 4,361.71

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Solution

The fourth proportional to 7,655.42, 11,472.17 and 4,361.71 is: 6,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.42 : 11,472.17 = 4,361.71 : x
  2. Step 2: Convert to fraction form
    7,655.42/11,472.17 = 4,361.71/x
  3. Step 3: Cross multiply
    7,655.42x = 11,472.17 × 4,361.71
  4. Step 4: Simplify right side
    7,655.42x = 50,038,278.61
  5. Step 5: Solve for x
    x = 50,038,278.61/7,655.42
  6. Step 6: Final answer
    x = 6,536.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.