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Finding the Fourth Proportional to 14,305.18, 19,740.90 and 7,844.80

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Solution

The fourth proportional to 14,305.18, 19,740.90 and 7,844.80 is: 10,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.18 : 19,740.90 = 7,844.80 : x
  2. Step 2: Convert to fraction form
    14,305.18/19,740.90 = 7,844.80/x
  3. Step 3: Cross multiply
    14,305.18x = 19,740.90 × 7,844.80
  4. Step 4: Simplify right side
    14,305.18x = 154,863,412.32
  5. Step 5: Solve for x
    x = 154,863,412.32/14,305.18
  6. Step 6: Final answer
    x = 10,825.69

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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.