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Finding the Fourth Proportional to 10,641.88, 14,681.80 and 6,164

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Solution

The fourth proportional to 10,641.88, 14,681.80 and 6,164 is: 8,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.88 : 14,681.80 = 6,164 : x
  2. Step 2: Convert to fraction form
    10,641.88/14,681.80 = 6,164/x
  3. Step 3: Cross multiply
    10,641.88x = 14,681.80 × 6,164
  4. Step 4: Simplify right side
    10,641.88x = 90,498,615.20
  5. Step 5: Solve for x
    x = 90,498,615.20/10,641.88
  6. Step 6: Final answer
    x = 8,504.01

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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.