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Finding the Fourth Proportional to 9,794.28, 14,619.73 and 8,416.47

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Solution

The fourth proportional to 9,794.28, 14,619.73 and 8,416.47 is: 12,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.28 : 14,619.73 = 8,416.47 : x
  2. Step 2: Convert to fraction form
    9,794.28/14,619.73 = 8,416.47/x
  3. Step 3: Cross multiply
    9,794.28x = 14,619.73 × 8,416.47
  4. Step 4: Simplify right side
    9,794.28x = 123,046,518.95
  5. Step 5: Solve for x
    x = 123,046,518.95/9,794.28
  6. Step 6: Final answer
    x = 12,563.10

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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.