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Finding the Fourth Proportional to 6,364.53, 9,549.54 and 3,080.10

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Solution

The fourth proportional to 6,364.53, 9,549.54 and 3,080.10 is: 4,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.53 : 9,549.54 = 3,080.10 : x
  2. Step 2: Convert to fraction form
    6,364.53/9,549.54 = 3,080.10/x
  3. Step 3: Cross multiply
    6,364.53x = 9,549.54 × 3,080.10
  4. Step 4: Simplify right side
    6,364.53x = 29,413,538.15
  5. Step 5: Solve for x
    x = 29,413,538.15/6,364.53
  6. Step 6: Final answer
    x = 4,621.48

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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.