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Finding the Fourth Proportional to 9,590.97, 13,234.59 and 7,074.44

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Solution

The fourth proportional to 9,590.97, 13,234.59 and 7,074.44 is: 9,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.97 : 13,234.59 = 7,074.44 : x
  2. Step 2: Convert to fraction form
    9,590.97/13,234.59 = 7,074.44/x
  3. Step 3: Cross multiply
    9,590.97x = 13,234.59 × 7,074.44
  4. Step 4: Simplify right side
    9,590.97x = 93,627,246.71
  5. Step 5: Solve for x
    x = 93,627,246.71/9,590.97
  6. Step 6: Final answer
    x = 9,762.02

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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.