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Finding the Fourth Proportional to 9,786.76, 14,681.90 and 4,592.50

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Solution

The fourth proportional to 9,786.76, 14,681.90 and 4,592.50 is: 6,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.76 : 14,681.90 = 4,592.50 : x
  2. Step 2: Convert to fraction form
    9,786.76/14,681.90 = 4,592.50/x
  3. Step 3: Cross multiply
    9,786.76x = 14,681.90 × 4,592.50
  4. Step 4: Simplify right side
    9,786.76x = 67,426,625.75
  5. Step 5: Solve for x
    x = 67,426,625.75/9,786.76
  6. Step 6: Final answer
    x = 6,889.58

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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.