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Finding the Fourth Proportional to 7,558, 10,430.04 and 4,246

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Solution

The fourth proportional to 7,558, 10,430.04 and 4,246 is: 5,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558 : 10,430.04 = 4,246 : x
  2. Step 2: Convert to fraction form
    7,558/10,430.04 = 4,246/x
  3. Step 3: Cross multiply
    7,558x = 10,430.04 × 4,246
  4. Step 4: Simplify right side
    7,558x = 44,285,949.84
  5. Step 5: Solve for x
    x = 44,285,949.84/7,558
  6. Step 6: Final answer
    x = 5,859.48

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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.