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Finding the Fourth Proportional to 12,454.32, 17,185.80 and 6,865.28

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Solution

The fourth proportional to 12,454.32, 17,185.80 and 6,865.28 is: 9,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.32 : 17,185.80 = 6,865.28 : x
  2. Step 2: Convert to fraction form
    12,454.32/17,185.80 = 6,865.28/x
  3. Step 3: Cross multiply
    12,454.32x = 17,185.80 × 6,865.28
  4. Step 4: Simplify right side
    12,454.32x = 117,985,329.02
  5. Step 5: Solve for x
    x = 117,985,329.02/12,454.32
  6. Step 6: Final answer
    x = 9,473.45

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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.