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Finding the Fourth Proportional to 6,507.56, 8,977.50 and 4,522.88

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Solution

The fourth proportional to 6,507.56, 8,977.50 and 4,522.88 is: 6,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.56 : 8,977.50 = 4,522.88 : x
  2. Step 2: Convert to fraction form
    6,507.56/8,977.50 = 4,522.88/x
  3. Step 3: Cross multiply
    6,507.56x = 8,977.50 × 4,522.88
  4. Step 4: Simplify right side
    6,507.56x = 40,604,155.20
  5. Step 5: Solve for x
    x = 40,604,155.20/6,507.56
  6. Step 6: Final answer
    x = 6,239.54

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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.