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Finding the Fourth Proportional to 10,482.62, 14,472.48 and 7,214

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Solution

The fourth proportional to 10,482.62, 14,472.48 and 7,214 is: 9,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.62 : 14,472.48 = 7,214 : x
  2. Step 2: Convert to fraction form
    10,482.62/14,472.48 = 7,214/x
  3. Step 3: Cross multiply
    10,482.62x = 14,472.48 × 7,214
  4. Step 4: Simplify right side
    10,482.62x = 104,404,470.72
  5. Step 5: Solve for x
    x = 104,404,470.72/10,482.62
  6. Step 6: Final answer
    x = 9,959.77

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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.