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Finding the Fourth Proportional to 10,805.32, 14,913.48 and 6,824.44

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Solution

The fourth proportional to 10,805.32, 14,913.48 and 6,824.44 is: 9,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.32 : 14,913.48 = 6,824.44 : x
  2. Step 2: Convert to fraction form
    10,805.32/14,913.48 = 6,824.44/x
  3. Step 3: Cross multiply
    10,805.32x = 14,913.48 × 6,824.44
  4. Step 4: Simplify right side
    10,805.32x = 101,776,149.45
  5. Step 5: Solve for x
    x = 101,776,149.45/10,805.32
  6. Step 6: Final answer
    x = 9,419.08

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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.