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Finding the Fourth Proportional to 7,563, 10,437.66 and 4,251

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Solution

The fourth proportional to 7,563, 10,437.66 and 4,251 is: 5,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563 : 10,437.66 = 4,251 : x
  2. Step 2: Convert to fraction form
    7,563/10,437.66 = 4,251/x
  3. Step 3: Cross multiply
    7,563x = 10,437.66 × 4,251
  4. Step 4: Simplify right side
    7,563x = 44,370,492.66
  5. Step 5: Solve for x
    x = 44,370,492.66/7,563
  6. Step 6: Final answer
    x = 5,866.78

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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.