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Finding the Fourth Proportional to 7,144.60, 9,859.86 and 4,000.72

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Solution

The fourth proportional to 7,144.60, 9,859.86 and 4,000.72 is: 5,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.60 : 9,859.86 = 4,000.72 : x
  2. Step 2: Convert to fraction form
    7,144.60/9,859.86 = 4,000.72/x
  3. Step 3: Cross multiply
    7,144.60x = 9,859.86 × 4,000.72
  4. Step 4: Simplify right side
    7,144.60x = 39,446,539.10
  5. Step 5: Solve for x
    x = 39,446,539.10/7,144.60
  6. Step 6: Final answer
    x = 5,521.17

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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.