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Finding the Fourth Proportional to 5,995.80, 8,270.64 and 4,667.40

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Solution

The fourth proportional to 5,995.80, 8,270.64 and 4,667.40 is: 6,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.80 : 8,270.64 = 4,667.40 : x
  2. Step 2: Convert to fraction form
    5,995.80/8,270.64 = 4,667.40/x
  3. Step 3: Cross multiply
    5,995.80x = 8,270.64 × 4,667.40
  4. Step 4: Simplify right side
    5,995.80x = 38,602,385.14
  5. Step 5: Solve for x
    x = 38,602,385.14/5,995.80
  6. Step 6: Final answer
    x = 6,438.24

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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.