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Finding the Fourth Proportional to 6,513.48, 9,759.18 and 4,655.16

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Solution

The fourth proportional to 6,513.48, 9,759.18 and 4,655.16 is: 6,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.48 : 9,759.18 = 4,655.16 : x
  2. Step 2: Convert to fraction form
    6,513.48/9,759.18 = 4,655.16/x
  3. Step 3: Cross multiply
    6,513.48x = 9,759.18 × 4,655.16
  4. Step 4: Simplify right side
    6,513.48x = 45,430,544.37
  5. Step 5: Solve for x
    x = 45,430,544.37/6,513.48
  6. Step 6: Final answer
    x = 6,974.85

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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.