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Finding the Fourth Proportional to 5,005.68, 7,507.04 and 1,883.42

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Solution

The fourth proportional to 5,005.68, 7,507.04 and 1,883.42 is: 2,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.68 : 7,507.04 = 1,883.42 : x
  2. Step 2: Convert to fraction form
    5,005.68/7,507.04 = 1,883.42/x
  3. Step 3: Cross multiply
    5,005.68x = 7,507.04 × 1,883.42
  4. Step 4: Simplify right side
    5,005.68x = 14,138,909.28
  5. Step 5: Solve for x
    x = 14,138,909.28/5,005.68
  6. Step 6: Final answer
    x = 2,824.57

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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.