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Finding the Fourth Proportional to 6,809.64, 9,397.98 and 4,576.16

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Solution

The fourth proportional to 6,809.64, 9,397.98 and 4,576.16 is: 6,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.64 : 9,397.98 = 4,576.16 : x
  2. Step 2: Convert to fraction form
    6,809.64/9,397.98 = 4,576.16/x
  3. Step 3: Cross multiply
    6,809.64x = 9,397.98 × 4,576.16
  4. Step 4: Simplify right side
    6,809.64x = 43,006,637.28
  5. Step 5: Solve for x
    x = 43,006,637.28/6,809.64
  6. Step 6: Final answer
    x = 6,315.56

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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.