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Finding the Fourth Proportional to 8,434.95, 11,640.16 and 4,658.37

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Solution

The fourth proportional to 8,434.95, 11,640.16 and 4,658.37 is: 6,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.95 : 11,640.16 = 4,658.37 : x
  2. Step 2: Convert to fraction form
    8,434.95/11,640.16 = 4,658.37/x
  3. Step 3: Cross multiply
    8,434.95x = 11,640.16 × 4,658.37
  4. Step 4: Simplify right side
    8,434.95x = 54,224,172.14
  5. Step 5: Solve for x
    x = 54,224,172.14/8,434.95
  6. Step 6: Final answer
    x = 6,428.51

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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.