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Finding the Fourth Proportional to 10,497.21, 14,482.88 and 5,959.14

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Solution

The fourth proportional to 10,497.21, 14,482.88 and 5,959.14 is: 8,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.21 : 14,482.88 = 5,959.14 : x
  2. Step 2: Convert to fraction form
    10,497.21/14,482.88 = 5,959.14/x
  3. Step 3: Cross multiply
    10,497.21x = 14,482.88 × 5,959.14
  4. Step 4: Simplify right side
    10,497.21x = 86,305,479.73
  5. Step 5: Solve for x
    x = 86,305,479.73/10,497.21
  6. Step 6: Final answer
    x = 8,221.75

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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.