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Finding the Fourth Proportional to 6,522.93, 9,769.82 and 4,676.13

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Solution

The fourth proportional to 6,522.93, 9,769.82 and 4,676.13 is: 7,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.93 : 9,769.82 = 4,676.13 : x
  2. Step 2: Convert to fraction form
    6,522.93/9,769.82 = 4,676.13/x
  3. Step 3: Cross multiply
    6,522.93x = 9,769.82 × 4,676.13
  4. Step 4: Simplify right side
    6,522.93x = 45,684,925.02
  5. Step 5: Solve for x
    x = 45,684,925.02/6,522.93
  6. Step 6: Final answer
    x = 7,003.74

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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.