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Finding the Fourth Proportional to 15,202, 22,804.28 and 4,258

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Solution

The fourth proportional to 15,202, 22,804.28 and 4,258 is: 6,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202 : 22,804.28 = 4,258 : x
  2. Step 2: Convert to fraction form
    15,202/22,804.28 = 4,258/x
  3. Step 3: Cross multiply
    15,202x = 22,804.28 × 4,258
  4. Step 4: Simplify right side
    15,202x = 97,100,624.24
  5. Step 5: Solve for x
    x = 97,100,624.24/15,202
  6. Step 6: Final answer
    x = 6,387.36

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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.