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Finding the Fourth Proportional to 15,314, 22,979.64 and 7,106

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Solution

The fourth proportional to 15,314, 22,979.64 and 7,106 is: 10,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314 : 22,979.64 = 7,106 : x
  2. Step 2: Convert to fraction form
    15,314/22,979.64 = 7,106/x
  3. Step 3: Cross multiply
    15,314x = 22,979.64 × 7,106
  4. Step 4: Simplify right side
    15,314x = 163,293,321.84
  5. Step 5: Solve for x
    x = 163,293,321.84/15,314
  6. Step 6: Final answer
    x = 10,663.01

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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.