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Finding the Fourth Proportional to 9,980.33, 14,966.17 and 5,299.32

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Solution

The fourth proportional to 9,980.33, 14,966.17 and 5,299.32 is: 7,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.33 : 14,966.17 = 5,299.32 : x
  2. Step 2: Convert to fraction form
    9,980.33/14,966.17 = 5,299.32/x
  3. Step 3: Cross multiply
    9,980.33x = 14,966.17 × 5,299.32
  4. Step 4: Simplify right side
    9,980.33x = 79,310,497.51
  5. Step 5: Solve for x
    x = 79,310,497.51/9,980.33
  6. Step 6: Final answer
    x = 7,946.68

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1.5x scale

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.