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Finding the Fourth Proportional to 6,507.25, 9,760.53 and 1,827.59

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Solution

The fourth proportional to 6,507.25, 9,760.53 and 1,827.59 is: 2,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.25 : 9,760.53 = 1,827.59 : x
  2. Step 2: Convert to fraction form
    6,507.25/9,760.53 = 1,827.59/x
  3. Step 3: Cross multiply
    6,507.25x = 9,760.53 × 1,827.59
  4. Step 4: Simplify right side
    6,507.25x = 17,838,247.02
  5. Step 5: Solve for x
    x = 17,838,247.02/6,507.25
  6. Step 6: Final answer
    x = 2,741.29

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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.