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Finding the Fourth Proportional to 10,047.50, 15,071.28 and 3,122

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Solution

The fourth proportional to 10,047.50, 15,071.28 and 3,122 is: 4,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.50 : 15,071.28 = 3,122 : x
  2. Step 2: Convert to fraction form
    10,047.50/15,071.28 = 3,122/x
  3. Step 3: Cross multiply
    10,047.50x = 15,071.28 × 3,122
  4. Step 4: Simplify right side
    10,047.50x = 47,052,536.16
  5. Step 5: Solve for x
    x = 47,052,536.16/10,047.50
  6. Step 6: Final answer
    x = 4,683.01

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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.