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Finding the Fourth Proportional to 11,802.99, 16,287.99 and 6,497.70

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Solution

The fourth proportional to 11,802.99, 16,287.99 and 6,497.70 is: 8,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.99 : 16,287.99 = 6,497.70 : x
  2. Step 2: Convert to fraction form
    11,802.99/16,287.99 = 6,497.70/x
  3. Step 3: Cross multiply
    11,802.99x = 16,287.99 × 6,497.70
  4. Step 4: Simplify right side
    11,802.99x = 105,834,472.62
  5. Step 5: Solve for x
    x = 105,834,472.62/11,802.99
  6. Step 6: Final answer
    x = 8,966.75

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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.