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Finding the Fourth Proportional to 14,560.48, 21,833.04 and 6,348

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Solution

The fourth proportional to 14,560.48, 21,833.04 and 6,348 is: 9,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.48 : 21,833.04 = 6,348 : x
  2. Step 2: Convert to fraction form
    14,560.48/21,833.04 = 6,348/x
  3. Step 3: Cross multiply
    14,560.48x = 21,833.04 × 6,348
  4. Step 4: Simplify right side
    14,560.48x = 138,596,137.92
  5. Step 5: Solve for x
    x = 138,596,137.92/14,560.48
  6. Step 6: Final answer
    x = 9,518.65

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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.