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Finding the Fourth Proportional to 6,491.84, 8,957.76 and 3,696.96

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Solution

The fourth proportional to 6,491.84, 8,957.76 and 3,696.96 is: 5,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.84 : 8,957.76 = 3,696.96 : x
  2. Step 2: Convert to fraction form
    6,491.84/8,957.76 = 3,696.96/x
  3. Step 3: Cross multiply
    6,491.84x = 8,957.76 × 3,696.96
  4. Step 4: Simplify right side
    6,491.84x = 33,116,480.41
  5. Step 5: Solve for x
    x = 33,116,480.41/6,491.84
  6. Step 6: Final answer
    x = 5,101.25

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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.