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Finding the Fourth Proportional to 10,606.50, 15,797.72 and 10,051.38

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Solution

The fourth proportional to 10,606.50, 15,797.72 and 10,051.38 is: 14,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.50 : 15,797.72 = 10,051.38 : x
  2. Step 2: Convert to fraction form
    10,606.50/15,797.72 = 10,051.38/x
  3. Step 3: Cross multiply
    10,606.50x = 15,797.72 × 10,051.38
  4. Step 4: Simplify right side
    10,606.50x = 158,788,836.60
  5. Step 5: Solve for x
    x = 158,788,836.60/10,606.50
  6. Step 6: Final answer
    x = 14,970.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.