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Finding the Fourth Proportional to 6,302.52, 9,446.84 and 2,602.74

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Solution

The fourth proportional to 6,302.52, 9,446.84 and 2,602.74 is: 3,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.52 : 9,446.84 = 2,602.74 : x
  2. Step 2: Convert to fraction form
    6,302.52/9,446.84 = 2,602.74/x
  3. Step 3: Cross multiply
    6,302.52x = 9,446.84 × 2,602.74
  4. Step 4: Simplify right side
    6,302.52x = 24,587,668.34
  5. Step 5: Solve for x
    x = 24,587,668.34/6,302.52
  6. Step 6: Final answer
    x = 3,901.24

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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.