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Finding the Fourth Proportional to 9,699, 14,548.50 and 3,125.86

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Solution

The fourth proportional to 9,699, 14,548.50 and 3,125.86 is: 4,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699 : 14,548.50 = 3,125.86 : x
  2. Step 2: Convert to fraction form
    9,699/14,548.50 = 3,125.86/x
  3. Step 3: Cross multiply
    9,699x = 14,548.50 × 3,125.86
  4. Step 4: Simplify right side
    9,699x = 45,476,574.21
  5. Step 5: Solve for x
    x = 45,476,574.21/9,699
  6. Step 6: Final answer
    x = 4,688.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.