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Finding the Fourth Proportional to 6,507.30, 9,768.15 and 6,084.30

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Solution

The fourth proportional to 6,507.30, 9,768.15 and 6,084.30 is: 9,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.30 : 9,768.15 = 6,084.30 : x
  2. Step 2: Convert to fraction form
    6,507.30/9,768.15 = 6,084.30/x
  3. Step 3: Cross multiply
    6,507.30x = 9,768.15 × 6,084.30
  4. Step 4: Simplify right side
    6,507.30x = 59,432,355.05
  5. Step 5: Solve for x
    x = 59,432,355.05/6,507.30
  6. Step 6: Final answer
    x = 9,133.18

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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.