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Finding the Fourth Proportional to 14,141.08, 19,513.50 and 7,853.08

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Solution

The fourth proportional to 14,141.08, 19,513.50 and 7,853.08 is: 10,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.08 : 19,513.50 = 7,853.08 : x
  2. Step 2: Convert to fraction form
    14,141.08/19,513.50 = 7,853.08/x
  3. Step 3: Cross multiply
    14,141.08x = 19,513.50 × 7,853.08
  4. Step 4: Simplify right side
    14,141.08x = 153,241,076.58
  5. Step 5: Solve for x
    x = 153,241,076.58/14,141.08
  6. Step 6: Final answer
    x = 10,836.59

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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.