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Finding the Fourth Proportional to 5,903.12, 8,141.64 and 5,505.68

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Solution

The fourth proportional to 5,903.12, 8,141.64 and 5,505.68 is: 7,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.12 : 8,141.64 = 5,505.68 : x
  2. Step 2: Convert to fraction form
    5,903.12/8,141.64 = 5,505.68/x
  3. Step 3: Cross multiply
    5,903.12x = 8,141.64 × 5,505.68
  4. Step 4: Simplify right side
    5,903.12x = 44,825,264.52
  5. Step 5: Solve for x
    x = 44,825,264.52/5,903.12
  6. Step 6: Final answer
    x = 7,593.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.