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Finding the Fourth Proportional to 7,506, 10,358.28 and 4,194

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Solution

The fourth proportional to 7,506, 10,358.28 and 4,194 is: 5,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 10,358.28 = 4,194 : x
  2. Step 2: Convert to fraction form
    7,506/10,358.28 = 4,194/x
  3. Step 3: Cross multiply
    7,506x = 10,358.28 × 4,194
  4. Step 4: Simplify right side
    7,506x = 43,442,626.32
  5. Step 5: Solve for x
    x = 43,442,626.32/7,506
  6. Step 6: Final answer
    x = 5,787.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.