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Finding the Fourth Proportional to 6,312.26, 9,471 and 2,615.24

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Solution

The fourth proportional to 6,312.26, 9,471 and 2,615.24 is: 3,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.26 : 9,471 = 2,615.24 : x
  2. Step 2: Convert to fraction form
    6,312.26/9,471 = 2,615.24/x
  3. Step 3: Cross multiply
    6,312.26x = 9,471 × 2,615.24
  4. Step 4: Simplify right side
    6,312.26x = 24,768,938.04
  5. Step 5: Solve for x
    x = 24,768,938.04/6,312.26
  6. Step 6: Final answer
    x = 3,923.94

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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.