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Finding the Fourth Proportional to 6,509.56, 8,983.08 and 3,715

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Solution

The fourth proportional to 6,509.56, 8,983.08 and 3,715 is: 5,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.56 : 8,983.08 = 3,715 : x
  2. Step 2: Convert to fraction form
    6,509.56/8,983.08 = 3,715/x
  3. Step 3: Cross multiply
    6,509.56x = 8,983.08 × 3,715
  4. Step 4: Simplify right side
    6,509.56x = 33,372,142.20
  5. Step 5: Solve for x
    x = 33,372,142.20/6,509.56
  6. Step 6: Final answer
    x = 5,126.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.