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Finding the Fourth Proportional to 5,312.67, 7,966.04 and 4,713.14

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Solution

The fourth proportional to 5,312.67, 7,966.04 and 4,713.14 is: 7,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.67 : 7,966.04 = 4,713.14 : x
  2. Step 2: Convert to fraction form
    5,312.67/7,966.04 = 4,713.14/x
  3. Step 3: Cross multiply
    5,312.67x = 7,966.04 × 4,713.14
  4. Step 4: Simplify right side
    5,312.67x = 37,544,998.37
  5. Step 5: Solve for x
    x = 37,544,998.37/5,312.67
  6. Step 6: Final answer
    x = 7,067.07

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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.