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Finding the Fourth Proportional to 6,680.64, 9,960.09 and 6,510.24

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Solution

The fourth proportional to 6,680.64, 9,960.09 and 6,510.24 is: 9,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.64 : 9,960.09 = 6,510.24 : x
  2. Step 2: Convert to fraction form
    6,680.64/9,960.09 = 6,510.24/x
  3. Step 3: Cross multiply
    6,680.64x = 9,960.09 × 6,510.24
  4. Step 4: Simplify right side
    6,680.64x = 64,842,576.32
  5. Step 5: Solve for x
    x = 64,842,576.32/6,680.64
  6. Step 6: Final answer
    x = 9,706.04

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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.