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Finding the Fourth Proportional to 6,434.74, 9,651.87 and 2,330.74

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Solution

The fourth proportional to 6,434.74, 9,651.87 and 2,330.74 is: 3,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.74 : 9,651.87 = 2,330.74 : x
  2. Step 2: Convert to fraction form
    6,434.74/9,651.87 = 2,330.74/x
  3. Step 3: Cross multiply
    6,434.74x = 9,651.87 × 2,330.74
  4. Step 4: Simplify right side
    6,434.74x = 22,495,999.48
  5. Step 5: Solve for x
    x = 22,495,999.48/6,434.74
  6. Step 6: Final answer
    x = 3,496.02

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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.