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Finding the Fourth Proportional to 6,665.84, 9,197.20 and 4,894.32

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Solution

The fourth proportional to 6,665.84, 9,197.20 and 4,894.32 is: 6,752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.84 : 9,197.20 = 4,894.32 : x
  2. Step 2: Convert to fraction form
    6,665.84/9,197.20 = 4,894.32/x
  3. Step 3: Cross multiply
    6,665.84x = 9,197.20 × 4,894.32
  4. Step 4: Simplify right side
    6,665.84x = 45,014,039.90
  5. Step 5: Solve for x
    x = 45,014,039.90/6,665.84
  6. Step 6: Final answer
    x = 6,752.94

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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.