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Finding the Fourth Proportional to 9,756.60, 14,649.30 and 7,567.80

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Solution

The fourth proportional to 9,756.60, 14,649.30 and 7,567.80 is: 11,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.60 : 14,649.30 = 7,567.80 : x
  2. Step 2: Convert to fraction form
    9,756.60/14,649.30 = 7,567.80/x
  3. Step 3: Cross multiply
    9,756.60x = 14,649.30 × 7,567.80
  4. Step 4: Simplify right side
    9,756.60x = 110,862,972.54
  5. Step 5: Solve for x
    x = 110,862,972.54/9,756.60
  6. Step 6: Final answer
    x = 11,362.87

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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.