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Finding the Fourth Proportional to 9,590.80, 13,234.08 and 5,398.24

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Solution

The fourth proportional to 9,590.80, 13,234.08 and 5,398.24 is: 7,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.80 : 13,234.08 = 5,398.24 : x
  2. Step 2: Convert to fraction form
    9,590.80/13,234.08 = 5,398.24/x
  3. Step 3: Cross multiply
    9,590.80x = 13,234.08 × 5,398.24
  4. Step 4: Simplify right side
    9,590.80x = 71,440,740.02
  5. Step 5: Solve for x
    x = 71,440,740.02/9,590.80
  6. Step 6: Final answer
    x = 7,448.88

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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.