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Finding the Fourth Proportional to 9,160.34, 13,737.78 and 4,775.41

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Solution

The fourth proportional to 9,160.34, 13,737.78 and 4,775.41 is: 7,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.34 : 13,737.78 = 4,775.41 : x
  2. Step 2: Convert to fraction form
    9,160.34/13,737.78 = 4,775.41/x
  3. Step 3: Cross multiply
    9,160.34x = 13,737.78 × 4,775.41
  4. Step 4: Simplify right side
    9,160.34x = 65,603,458.46
  5. Step 5: Solve for x
    x = 65,603,458.46/9,160.34
  6. Step 6: Final answer
    x = 7,161.68

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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.