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Finding the Fourth Proportional to 6,507.84, 9,765.60 and 3,045.44

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Solution

The fourth proportional to 6,507.84, 9,765.60 and 3,045.44 is: 4,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.84 : 9,765.60 = 3,045.44 : x
  2. Step 2: Convert to fraction form
    6,507.84/9,765.60 = 3,045.44/x
  3. Step 3: Cross multiply
    6,507.84x = 9,765.60 × 3,045.44
  4. Step 4: Simplify right side
    6,507.84x = 29,740,548.86
  5. Step 5: Solve for x
    x = 29,740,548.86/6,507.84
  6. Step 6: Final answer
    x = 4,569.96

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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.