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Finding the Fourth Proportional to 6,574.62, 9,072.90 and 3,590.44

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Solution

The fourth proportional to 6,574.62, 9,072.90 and 3,590.44 is: 4,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.62 : 9,072.90 = 3,590.44 : x
  2. Step 2: Convert to fraction form
    6,574.62/9,072.90 = 3,590.44/x
  3. Step 3: Cross multiply
    6,574.62x = 9,072.90 × 3,590.44
  4. Step 4: Simplify right side
    6,574.62x = 32,575,703.08
  5. Step 5: Solve for x
    x = 32,575,703.08/6,574.62
  6. Step 6: Final answer
    x = 4,954.77

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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.