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Finding the Fourth Proportional to 6,502.63, 9,753.64 and 4,522.41

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Solution

The fourth proportional to 6,502.63, 9,753.64 and 4,522.41 is: 6,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.63 : 9,753.64 = 4,522.41 : x
  2. Step 2: Convert to fraction form
    6,502.63/9,753.64 = 4,522.41/x
  3. Step 3: Cross multiply
    6,502.63x = 9,753.64 × 4,522.41
  4. Step 4: Simplify right side
    6,502.63x = 44,109,933.05
  5. Step 5: Solve for x
    x = 44,109,933.05/6,502.63
  6. Step 6: Final answer
    x = 6,783.40

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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.