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Finding the Fourth Proportional to 6,152.70, 9,230.49 and 1,770.06

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Solution

The fourth proportional to 6,152.70, 9,230.49 and 1,770.06 is: 2,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.70 : 9,230.49 = 1,770.06 : x
  2. Step 2: Convert to fraction form
    6,152.70/9,230.49 = 1,770.06/x
  3. Step 3: Cross multiply
    6,152.70x = 9,230.49 × 1,770.06
  4. Step 4: Simplify right side
    6,152.70x = 16,338,521.13
  5. Step 5: Solve for x
    x = 16,338,521.13/6,152.70
  6. Step 6: Final answer
    x = 2,655.50

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1.5x scale

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.