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Finding the Fourth Proportional to 3,646.64, 5,471.49 and 1,567.10

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Solution

The fourth proportional to 3,646.64, 5,471.49 and 1,567.10 is: 2,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.64 : 5,471.49 = 1,567.10 : x
  2. Step 2: Convert to fraction form
    3,646.64/5,471.49 = 1,567.10/x
  3. Step 3: Cross multiply
    3,646.64x = 5,471.49 × 1,567.10
  4. Step 4: Simplify right side
    3,646.64x = 8,574,371.98
  5. Step 5: Solve for x
    x = 8,574,371.98/3,646.64
  6. Step 6: Final answer
    x = 2,351.31

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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.