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Finding the Fourth Proportional to 7,346, 10,137.48 and 4,034

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Solution

The fourth proportional to 7,346, 10,137.48 and 4,034 is: 5,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346 : 10,137.48 = 4,034 : x
  2. Step 2: Convert to fraction form
    7,346/10,137.48 = 4,034/x
  3. Step 3: Cross multiply
    7,346x = 10,137.48 × 4,034
  4. Step 4: Simplify right side
    7,346x = 40,894,594.32
  5. Step 5: Solve for x
    x = 40,894,594.32/7,346
  6. Step 6: Final answer
    x = 5,566.92

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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.