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Finding the Fourth Proportional to 4,536.66, 6,805.05 and 1,614.89

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Solution

The fourth proportional to 4,536.66, 6,805.05 and 1,614.89 is: 2,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.66 : 6,805.05 = 1,614.89 : x
  2. Step 2: Convert to fraction form
    4,536.66/6,805.05 = 1,614.89/x
  3. Step 3: Cross multiply
    4,536.66x = 6,805.05 × 1,614.89
  4. Step 4: Simplify right side
    4,536.66x = 10,989,373.17
  5. Step 5: Solve for x
    x = 10,989,373.17/4,536.66
  6. Step 6: Final answer
    x = 2,422.35

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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.