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Finding the Fourth Proportional to 4,785.36, 6,585.82 and 4,049

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Solution

The fourth proportional to 4,785.36, 6,585.82 and 4,049 is: 5,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.36 : 6,585.82 = 4,049 : x
  2. Step 2: Convert to fraction form
    4,785.36/6,585.82 = 4,049/x
  3. Step 3: Cross multiply
    4,785.36x = 6,585.82 × 4,049
  4. Step 4: Simplify right side
    4,785.36x = 26,665,985.18
  5. Step 5: Solve for x
    x = 26,665,985.18/4,785.36
  6. Step 6: Final answer
    x = 5,572.41

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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.