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Finding the Fourth Proportional to 9,658, 14,475.93 and 4,387.33

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Solution

The fourth proportional to 9,658, 14,475.93 and 4,387.33 is: 6,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658 : 14,475.93 = 4,387.33 : x
  2. Step 2: Convert to fraction form
    9,658/14,475.93 = 4,387.33/x
  3. Step 3: Cross multiply
    9,658x = 14,475.93 × 4,387.33
  4. Step 4: Simplify right side
    9,658x = 63,510,681.97
  5. Step 5: Solve for x
    x = 63,510,681.97/9,658
  6. Step 6: Final answer
    x = 6,575.97

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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.