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Finding the Fourth Proportional to 11,574.64, 17,361.47 and 4,909.30

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Solution

The fourth proportional to 11,574.64, 17,361.47 and 4,909.30 is: 7,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.64 : 17,361.47 = 4,909.30 : x
  2. Step 2: Convert to fraction form
    11,574.64/17,361.47 = 4,909.30/x
  3. Step 3: Cross multiply
    11,574.64x = 17,361.47 × 4,909.30
  4. Step 4: Simplify right side
    11,574.64x = 85,232,633.54
  5. Step 5: Solve for x
    x = 85,232,633.54/11,574.64
  6. Step 6: Final answer
    x = 7,363.74

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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.