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Finding the Fourth Proportional to 5,691.52, 7,835.84 and 4,506.24

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Solution

The fourth proportional to 5,691.52, 7,835.84 and 4,506.24 is: 6,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.52 : 7,835.84 = 4,506.24 : x
  2. Step 2: Convert to fraction form
    5,691.52/7,835.84 = 4,506.24/x
  3. Step 3: Cross multiply
    5,691.52x = 7,835.84 × 4,506.24
  4. Step 4: Simplify right side
    5,691.52x = 35,310,175.64
  5. Step 5: Solve for x
    x = 35,310,175.64/5,691.52
  6. Step 6: Final answer
    x = 6,204.00

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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.