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Finding the Fourth Proportional to 10,078.94, 13,909.04 and 5,602.88

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Solution

The fourth proportional to 10,078.94, 13,909.04 and 5,602.88 is: 7,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.94 : 13,909.04 = 5,602.88 : x
  2. Step 2: Convert to fraction form
    10,078.94/13,909.04 = 5,602.88/x
  3. Step 3: Cross multiply
    10,078.94x = 13,909.04 × 5,602.88
  4. Step 4: Simplify right side
    10,078.94x = 77,930,682.04
  5. Step 5: Solve for x
    x = 77,930,682.04/10,078.94
  6. Step 6: Final answer
    x = 7,732.03

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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.