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Finding the Fourth Proportional to 3,711.05, 5,566.21 and 975.05

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Solution

The fourth proportional to 3,711.05, 5,566.21 and 975.05 is: 1,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.05 : 5,566.21 = 975.05 : x
  2. Step 2: Convert to fraction form
    3,711.05/5,566.21 = 975.05/x
  3. Step 3: Cross multiply
    3,711.05x = 5,566.21 × 975.05
  4. Step 4: Simplify right side
    3,711.05x = 5,427,333.06
  5. Step 5: Solve for x
    x = 5,427,333.06/3,711.05
  6. Step 6: Final answer
    x = 1,462.48

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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.