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Finding the Fourth Proportional to 6,505.60, 8,977.67 and 3,672.92

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Solution

The fourth proportional to 6,505.60, 8,977.67 and 3,672.92 is: 5,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.60 : 8,977.67 = 3,672.92 : x
  2. Step 2: Convert to fraction form
    6,505.60/8,977.67 = 3,672.92/x
  3. Step 3: Cross multiply
    6,505.60x = 8,977.67 × 3,672.92
  4. Step 4: Simplify right side
    6,505.60x = 32,974,263.70
  5. Step 5: Solve for x
    x = 32,974,263.70/6,505.60
  6. Step 6: Final answer
    x = 5,068.60

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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.