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Finding the Fourth Proportional to 6,966.84, 9,607.26 and 6,463.32

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Solution

The fourth proportional to 6,966.84, 9,607.26 and 6,463.32 is: 8,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.84 : 9,607.26 = 6,463.32 : x
  2. Step 2: Convert to fraction form
    6,966.84/9,607.26 = 6,463.32/x
  3. Step 3: Cross multiply
    6,966.84x = 9,607.26 × 6,463.32
  4. Step 4: Simplify right side
    6,966.84x = 62,094,795.70
  5. Step 5: Solve for x
    x = 62,094,795.70/6,966.84
  6. Step 6: Final answer
    x = 8,912.91

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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.