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Finding the Fourth Proportional to 6,957.84, 10,440.72 and 4,616.28

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Solution

The fourth proportional to 6,957.84, 10,440.72 and 4,616.28 is: 6,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.84 : 10,440.72 = 4,616.28 : x
  2. Step 2: Convert to fraction form
    6,957.84/10,440.72 = 4,616.28/x
  3. Step 3: Cross multiply
    6,957.84x = 10,440.72 × 4,616.28
  4. Step 4: Simplify right side
    6,957.84x = 48,197,286.92
  5. Step 5: Solve for x
    x = 48,197,286.92/6,957.84
  6. Step 6: Final answer
    x = 6,927.05

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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.