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Finding the Fourth Proportional to 8,970.71, 13,456.53 and 2,730.24

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Solution

The fourth proportional to 8,970.71, 13,456.53 and 2,730.24 is: 4,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.71 : 13,456.53 = 2,730.24 : x
  2. Step 2: Convert to fraction form
    8,970.71/13,456.53 = 2,730.24/x
  3. Step 3: Cross multiply
    8,970.71x = 13,456.53 × 2,730.24
  4. Step 4: Simplify right side
    8,970.71x = 36,739,556.47
  5. Step 5: Solve for x
    x = 36,739,556.47/8,970.71
  6. Step 6: Final answer
    x = 4,095.50

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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.