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Finding the Fourth Proportional to 10,048.77, 13,867.64 and 6,069.09

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Solution

The fourth proportional to 10,048.77, 13,867.64 and 6,069.09 is: 8,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.77 : 13,867.64 = 6,069.09 : x
  2. Step 2: Convert to fraction form
    10,048.77/13,867.64 = 6,069.09/x
  3. Step 3: Cross multiply
    10,048.77x = 13,867.64 × 6,069.09
  4. Step 4: Simplify right side
    10,048.77x = 84,163,955.25
  5. Step 5: Solve for x
    x = 84,163,955.25/10,048.77
  6. Step 6: Final answer
    x = 8,375.55

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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.