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Finding the Fourth Proportional to 7,863.84, 11,732.76 and 6,275.16

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Solution

The fourth proportional to 7,863.84, 11,732.76 and 6,275.16 is: 9,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.84 : 11,732.76 = 6,275.16 : x
  2. Step 2: Convert to fraction form
    7,863.84/11,732.76 = 6,275.16/x
  3. Step 3: Cross multiply
    7,863.84x = 11,732.76 × 6,275.16
  4. Step 4: Simplify right side
    7,863.84x = 73,624,946.24
  5. Step 5: Solve for x
    x = 73,624,946.24/7,863.84
  6. Step 6: Final answer
    x = 9,362.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.