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Finding the Fourth Proportional to 8,497.71, 12,723.89 and 4,984.83

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Solution

The fourth proportional to 8,497.71, 12,723.89 and 4,984.83 is: 7,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.71 : 12,723.89 = 4,984.83 : x
  2. Step 2: Convert to fraction form
    8,497.71/12,723.89 = 4,984.83/x
  3. Step 3: Cross multiply
    8,497.71x = 12,723.89 × 4,984.83
  4. Step 4: Simplify right side
    8,497.71x = 63,426,403.66
  5. Step 5: Solve for x
    x = 63,426,403.66/8,497.71
  6. Step 6: Final answer
    x = 7,463.94

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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.