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Finding the Fourth Proportional to 6,505.26, 8,977.26 and 3,710.76

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Solution

The fourth proportional to 6,505.26, 8,977.26 and 3,710.76 is: 5,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.26 : 8,977.26 = 3,710.76 : x
  2. Step 2: Convert to fraction form
    6,505.26/8,977.26 = 3,710.76/x
  3. Step 3: Cross multiply
    6,505.26x = 8,977.26 × 3,710.76
  4. Step 4: Simplify right side
    6,505.26x = 33,312,457.32
  5. Step 5: Solve for x
    x = 33,312,457.32/6,505.26
  6. Step 6: Final answer
    x = 5,120.85

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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.