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Finding the Fourth Proportional to 7,188.32, 9,919.78 and 4,044.50

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Solution

The fourth proportional to 7,188.32, 9,919.78 and 4,044.50 is: 5,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.32 : 9,919.78 = 4,044.50 : x
  2. Step 2: Convert to fraction form
    7,188.32/9,919.78 = 4,044.50/x
  3. Step 3: Cross multiply
    7,188.32x = 9,919.78 × 4,044.50
  4. Step 4: Simplify right side
    7,188.32x = 40,120,550.21
  5. Step 5: Solve for x
    x = 40,120,550.21/7,188.32
  6. Step 6: Final answer
    x = 5,581.35

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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.