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Finding the Fourth Proportional to 9,805.20, 13,534.20 and 6,029.52

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Solution

The fourth proportional to 9,805.20, 13,534.20 and 6,029.52 is: 8,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.20 : 13,534.20 = 6,029.52 : x
  2. Step 2: Convert to fraction form
    9,805.20/13,534.20 = 6,029.52/x
  3. Step 3: Cross multiply
    9,805.20x = 13,534.20 × 6,029.52
  4. Step 4: Simplify right side
    9,805.20x = 81,604,729.58
  5. Step 5: Solve for x
    x = 81,604,729.58/9,805.20
  6. Step 6: Final answer
    x = 8,322.60

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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.