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Finding the Fourth Proportional to 6,152.88, 9,230.68 and 1,770

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Solution

The fourth proportional to 6,152.88, 9,230.68 and 1,770 is: 2,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.88 : 9,230.68 = 1,770 : x
  2. Step 2: Convert to fraction form
    6,152.88/9,230.68 = 1,770/x
  3. Step 3: Cross multiply
    6,152.88x = 9,230.68 × 1,770
  4. Step 4: Simplify right side
    6,152.88x = 16,338,303.60
  5. Step 5: Solve for x
    x = 16,338,303.60/6,152.88
  6. Step 6: Final answer
    x = 2,655.39

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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.