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Finding the Fourth Proportional to 6,523.71, 9,783.53 and 2,140.19

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Solution

The fourth proportional to 6,523.71, 9,783.53 and 2,140.19 is: 3,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.71 : 9,783.53 = 2,140.19 : x
  2. Step 2: Convert to fraction form
    6,523.71/9,783.53 = 2,140.19/x
  3. Step 3: Cross multiply
    6,523.71x = 9,783.53 × 2,140.19
  4. Step 4: Simplify right side
    6,523.71x = 20,938,613.07
  5. Step 5: Solve for x
    x = 20,938,613.07/6,523.71
  6. Step 6: Final answer
    x = 3,209.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.