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Finding the Fourth Proportional to 5,694.62, 8,547.27 and 3,507.62

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Solution

The fourth proportional to 5,694.62, 8,547.27 and 3,507.62 is: 5,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.62 : 8,547.27 = 3,507.62 : x
  2. Step 2: Convert to fraction form
    5,694.62/8,547.27 = 3,507.62/x
  3. Step 3: Cross multiply
    5,694.62x = 8,547.27 × 3,507.62
  4. Step 4: Simplify right side
    5,694.62x = 29,980,575.20
  5. Step 5: Solve for x
    x = 29,980,575.20/5,694.62
  6. Step 6: Final answer
    x = 5,264.72

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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.