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Finding the Fourth Proportional to 6,531.03, 9,809.90 and 4,313.12

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Solution

The fourth proportional to 6,531.03, 9,809.90 and 4,313.12 is: 6,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.03 : 9,809.90 = 4,313.12 : x
  2. Step 2: Convert to fraction form
    6,531.03/9,809.90 = 4,313.12/x
  3. Step 3: Cross multiply
    6,531.03x = 9,809.90 × 4,313.12
  4. Step 4: Simplify right side
    6,531.03x = 42,311,205.27
  5. Step 5: Solve for x
    x = 42,311,205.27/6,531.03
  6. Step 6: Final answer
    x = 6,478.49

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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.