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Finding the Fourth Proportional to 6,444.56, 9,675 and 5,362.16

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Solution

The fourth proportional to 6,444.56, 9,675 and 5,362.16 is: 8,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.56 : 9,675 = 5,362.16 : x
  2. Step 2: Convert to fraction form
    6,444.56/9,675 = 5,362.16/x
  3. Step 3: Cross multiply
    6,444.56x = 9,675 × 5,362.16
  4. Step 4: Simplify right side
    6,444.56x = 51,878,898
  5. Step 5: Solve for x
    x = 51,878,898/6,444.56
  6. Step 6: Final answer
    x = 8,050.03

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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.