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Finding the Fourth Proportional to 6,507.04, 9,760.48 and 1,827.04

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Solution

The fourth proportional to 6,507.04, 9,760.48 and 1,827.04 is: 2,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.04 : 9,760.48 = 1,827.04 : x
  2. Step 2: Convert to fraction form
    6,507.04/9,760.48 = 1,827.04/x
  3. Step 3: Cross multiply
    6,507.04x = 9,760.48 × 1,827.04
  4. Step 4: Simplify right side
    6,507.04x = 17,832,787.38
  5. Step 5: Solve for x
    x = 17,832,787.38/6,507.04
  6. Step 6: Final answer
    x = 2,740.54

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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.