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Finding the Fourth Proportional to 9,214.40, 13,796.04 and 7,590.44

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Solution

The fourth proportional to 9,214.40, 13,796.04 and 7,590.44 is: 11,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.40 : 13,796.04 = 7,590.44 : x
  2. Step 2: Convert to fraction form
    9,214.40/13,796.04 = 7,590.44/x
  3. Step 3: Cross multiply
    9,214.40x = 13,796.04 × 7,590.44
  4. Step 4: Simplify right side
    9,214.40x = 104,718,013.86
  5. Step 5: Solve for x
    x = 104,718,013.86/9,214.40
  6. Step 6: Final answer
    x = 11,364.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.