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Finding the Fourth Proportional to 6,334.55, 9,502.37 and 1,655.18

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Solution

The fourth proportional to 6,334.55, 9,502.37 and 1,655.18 is: 2,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.55 : 9,502.37 = 1,655.18 : x
  2. Step 2: Convert to fraction form
    6,334.55/9,502.37 = 1,655.18/x
  3. Step 3: Cross multiply
    6,334.55x = 9,502.37 × 1,655.18
  4. Step 4: Simplify right side
    6,334.55x = 15,728,124.50
  5. Step 5: Solve for x
    x = 15,728,124.50/6,334.55
  6. Step 6: Final answer
    x = 2,482.91

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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.