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Finding the Fourth Proportional to 6,503.42, 8,977.01 and 3,853.10

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Solution

The fourth proportional to 6,503.42, 8,977.01 and 3,853.10 is: 5,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.42 : 8,977.01 = 3,853.10 : x
  2. Step 2: Convert to fraction form
    6,503.42/8,977.01 = 3,853.10/x
  3. Step 3: Cross multiply
    6,503.42x = 8,977.01 × 3,853.10
  4. Step 4: Simplify right side
    6,503.42x = 34,589,253.08
  5. Step 5: Solve for x
    x = 34,589,253.08/6,503.42
  6. Step 6: Final answer
    x = 5,318.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.