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Finding the Fourth Proportional to 14,110.77, 19,473.74 and 7,823.15

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Solution

The fourth proportional to 14,110.77, 19,473.74 and 7,823.15 is: 10,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.77 : 19,473.74 = 7,823.15 : x
  2. Step 2: Convert to fraction form
    14,110.77/19,473.74 = 7,823.15/x
  3. Step 3: Cross multiply
    14,110.77x = 19,473.74 × 7,823.15
  4. Step 4: Simplify right side
    14,110.77x = 152,345,891.71
  5. Step 5: Solve for x
    x = 152,345,891.71/14,110.77
  6. Step 6: Final answer
    x = 10,796.43

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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.