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Finding the Fourth Proportional to 7,409.76, 10,217.04 and 6,957.84

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Solution

The fourth proportional to 7,409.76, 10,217.04 and 6,957.84 is: 9,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.76 : 10,217.04 = 6,957.84 : x
  2. Step 2: Convert to fraction form
    7,409.76/10,217.04 = 6,957.84/x
  3. Step 3: Cross multiply
    7,409.76x = 10,217.04 × 6,957.84
  4. Step 4: Simplify right side
    7,409.76x = 71,088,529.59
  5. Step 5: Solve for x
    x = 71,088,529.59/7,409.76
  6. Step 6: Final answer
    x = 9,593.90

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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.