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Finding the Fourth Proportional to 6,874.40, 9,494.42 and 4,645.49

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Solution

The fourth proportional to 6,874.40, 9,494.42 and 4,645.49 is: 6,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.40 : 9,494.42 = 4,645.49 : x
  2. Step 2: Convert to fraction form
    6,874.40/9,494.42 = 4,645.49/x
  3. Step 3: Cross multiply
    6,874.40x = 9,494.42 × 4,645.49
  4. Step 4: Simplify right side
    6,874.40x = 44,106,162.47
  5. Step 5: Solve for x
    x = 44,106,162.47/6,874.40
  6. Step 6: Final answer
    x = 6,416.00

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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.