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Finding the Fourth Proportional to 6,497.61, 9,732.81 and 6,030.63

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Solution

The fourth proportional to 6,497.61, 9,732.81 and 6,030.63 is: 9,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.61 : 9,732.81 = 6,030.63 : x
  2. Step 2: Convert to fraction form
    6,497.61/9,732.81 = 6,030.63/x
  3. Step 3: Cross multiply
    6,497.61x = 9,732.81 × 6,030.63
  4. Step 4: Simplify right side
    6,497.61x = 58,694,975.97
  5. Step 5: Solve for x
    x = 58,694,975.97/6,497.61
  6. Step 6: Final answer
    x = 9,033.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.