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Finding the Fourth Proportional to 12,850.29, 19,275.98 and 6,282

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Solution

The fourth proportional to 12,850.29, 19,275.98 and 6,282 is: 9,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.29 : 19,275.98 = 6,282 : x
  2. Step 2: Convert to fraction form
    12,850.29/19,275.98 = 6,282/x
  3. Step 3: Cross multiply
    12,850.29x = 19,275.98 × 6,282
  4. Step 4: Simplify right side
    12,850.29x = 121,091,674.95
  5. Step 5: Solve for x
    x = 121,091,674.95/12,850.29
  6. Step 6: Final answer
    x = 9,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.