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Finding the Fourth Proportional to 6,523.07, 9,784.61 and 1,592.71

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Solution

The fourth proportional to 6,523.07, 9,784.61 and 1,592.71 is: 2,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.07 : 9,784.61 = 1,592.71 : x
  2. Step 2: Convert to fraction form
    6,523.07/9,784.61 = 1,592.71/x
  3. Step 3: Cross multiply
    6,523.07x = 9,784.61 × 1,592.71
  4. Step 4: Simplify right side
    6,523.07x = 15,584,025.71
  5. Step 5: Solve for x
    x = 15,584,025.71/6,523.07
  6. Step 6: Final answer
    x = 2,389.06

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Similar ratio
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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.