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Finding the Fourth Proportional to 7,699, 10,624.62 and 4,387

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Solution

The fourth proportional to 7,699, 10,624.62 and 4,387 is: 6,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699 : 10,624.62 = 4,387 : x
  2. Step 2: Convert to fraction form
    7,699/10,624.62 = 4,387/x
  3. Step 3: Cross multiply
    7,699x = 10,624.62 × 4,387
  4. Step 4: Simplify right side
    7,699x = 46,610,207.94
  5. Step 5: Solve for x
    x = 46,610,207.94/7,699
  6. Step 6: Final answer
    x = 6,054.06

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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.