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Finding the Fourth Proportional to 6,503.71, 8,975.24 and 3,671.65

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Solution

The fourth proportional to 6,503.71, 8,975.24 and 3,671.65 is: 5,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.71 : 8,975.24 = 3,671.65 : x
  2. Step 2: Convert to fraction form
    6,503.71/8,975.24 = 3,671.65/x
  3. Step 3: Cross multiply
    6,503.71x = 8,975.24 × 3,671.65
  4. Step 4: Simplify right side
    6,503.71x = 32,953,939.95
  5. Step 5: Solve for x
    x = 32,953,939.95/6,503.71
  6. Step 6: Final answer
    x = 5,066.94

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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.